Question

6х=28-х 9х-26=30-5х 7-3х=6х-56 0,9х-7,4= - 0,4х+4,3 5,8-1,6х=0,3х-1,8 3/8х+19=7/12х+24 5(х-4)=х+8 9-7(х+3)=5-6х (7х+9)- (11х-7)=8 3,6+5х=7(1,2-х)

Answer 1

Ответ:

Пошаговое объяснение:

6х=28-х

6x + x = 28

7x = 28

x = 28 : 7

x = 4

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9х-26=30-5х

9x + 5x = 30 + 26

14x = 56

x = 56 : 14

x = 4

==========

7-3х=6х-56

6x + 3x = 56 + 7

9x = 63

x = 63 : 9

x = 7

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0,9х-7,4= - 0,4х+4,3

0,9x + 0,4x = 4,3 + 7,4

1,3x = 11,7

x = 11,7 : 1,3

x = 9

===========

5,8-1,6х=0,3х-1,8

0,3x + 1,6x = 5,8 + 1,8

1,9x = 7,6

x = 7,6 : 1,9

x = 4

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3/8х+19=7/12х+24

7/12x - 3/8x = 19 - 24

14/24x - 9/24x = -5

5/24x = -5

x = -5 * 24/5

x = -24

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5(х-4)=х+8

5x - 20 = x + 8

5x - x = 8 + 20

4x = 28

x = 28 : 4

x = 7

==========

9-7(х+3)=5-6х

9 - 7x - 21 = 5 - 6x

-12 - 7x = 5 - 6x

7x - 6x = -12 - 5

x = -17

===========

(7х+9)- (11х-7)=8

7x + 9 - 11x + 7 = 8

-4x + 16 = 8

4x = 16 - 8

4x = 8

x = 8 : 4

x = 2

==========

3,6+5х=7(1,2-х)

3,6 + 5x = 8,4 - 7x

5x + 7x = 8,4 - 3,6

12x = 4,8

x = 4,8 : 12

x = 0,4

Answer 2

To solve each equation, we'll find the value of the variable "x" that makes both sides of the equation equal. Let's go through each equation step by step:

1. 6x = 28 - x

To solve for x, first, we'll move all the x terms to one side of the equation: 6x + x = 28

Now, combine like terms: 7x = 28

Finally, isolate x by dividing both sides by 7: x = 28 / 7 x = 4

2. 9x - 26 = 30 - 5x

To solve for x, first, we'll move all the x terms to one side of the equation: 9x + 5x = 30 + 26

Now, combine like terms: 14x = 56

Finally, isolate x by dividing both sides by 14: x = 56 / 14 x = 4

3. 7 - 3x = 6x - 56

To solve for x, first, we'll move all the x terms to one side of the equation: 3x + 6x = 7 + 56

Now, combine like terms: 9x = 63

Finally, isolate x by dividing both sides by 9: x = 63 / 9 x = 7

4. 0.9x - 7.4 = -0.4x + 4.3

To solve for x, first, we'll move all the x terms to one side of the equation: 0.9x + 0.4x = 7.4 + 4.3

Now, combine like terms: 1.3x = 11.7

Finally, isolate x by dividing both sides by 1.3: x = 11.7 / 1.3 x = 9

5. 5.8 - 1.6x = 0.3x - 1.8

To solve for x, first, we'll move all the x terms to one side of the equation: 1.6x + 0.3x = 5.8 + 1.8

Now, combine like terms: 1.9x = 7.6

Finally, isolate x by dividing both sides by 1.9: x = 7.6 / 1.9 x = 4

6. (3/8)x + 19 = (7/12)x + 24

To solve for x, first, we'll get rid of the fractions by multiplying both sides by the least common multiple (LCM) of 8 and 12, which is 24. 24 * ((3/8)x + 19) = 24 * ((7/12)x + 24)

This simplifies to: 3x + 456 = 14x + 576

Now, move all the x terms to one side of the equation: 3x - 14x = 576 - 456

Combine like terms: -11x = 120

Finally, isolate x by dividing both sides by -11: x = 120 / -11 x ≈ -10.9091 (rounded to four decimal places)

7. 5(x - 4) = x + 8

Distribute the 5 on the left side: 5x - 20 = x + 8

Move all the x terms to one side of the equation: 5x - x = 8 + 20

Combine like terms: 4x = 28

Finally, isolate x by dividing both sides by 4: x = 28 / 4 x = 7

8. 9 - 7(x + 3) = 5 - 6x

Distribute the -7 on the left side: 9 - 7x - 21 = 5 - 6x

Move all the x terms to one side of the equation: -7x + 6x = 5 - 9 + 21

Combine like terms: -x = 17

Finally, isolate x by multiplying both sides by -1: x = -17

9. (7x + 9) - (11x - 7) = 8

To solve for x, first, simplify the expressions in parentheses: 7x + 9 - 11x + 7 = 8

Now, move all the x terms to one side of the equation: 7x - 11x = 8 - 9 - 7

Combine like terms: -4x = -8

Finally, isolate x by dividing both sides by -4: x = -8 / -4 x = 2

10. 3.6 + 5x = 7(1.2 - x)

First, distribute 7 on the right side: 3.6 + 5x = 8.4 - 7x

Move all the x terms to one side of the equation: 5x + 7x = 8.4 - 3.6

Combine like terms: 12x = 4.8

Finally, isolate x by dividing both sides by 12: x = 4.8 / 12 x = 0.4

Those are the solutions for each equation. Please double-check your work and calculations, and feel free to ask if you have any further questions!