Question

1) (3x+5) + (8x+1)=17 2) 19-5(3x-1) = 93) 10x-5=6(8x+3)-5x4) - 10(3-4x) -51= 7(5x+3)5) 6x-5(x-2) = 5(x-1)-8​

Answer 1

Ответ:

Пошаговое объяснение:

1) (3x+5) + (8x+1)=17

3x + 5 + 8x + 1 = 17

11x + 6 = 17

11x = 17 - 6

11x = 11

x = 1

2) 19-5(3x-1) = 9

19 - 15x + 5 = 9

24 - 15x = 9

15x = 24 - 9

15x = 15

x = 1

3) 10x-5=6(8x+3)-5x

10x - 5 = 48x + 18 - 5x

10x - 5 = 43x + 18

43x - 10x = -5 - 18

33x = -23

x = -23:33

x = -23/33

4) - 10(3-4x) -51= 7(5x+3)

-30 + 40x - 51 = 35x + 21

-81 + 40x = 35x + 21

40x - 35x = 21+81

5x = 102

x = 102 : 5

x = 20,4

5) 6x-5(x-2) = 5(x-1)-8​

6x - 5x + 10 = 5x - 5 - 8

x + 10 = 5x - 13

5x - x = 10 + 13

4x = 23

x = 23:4

x = 5,75

Answer 2

Let's solve each of these equations step by step:

1. $3x + 5 + 8x + 1 = 17$

Combine like terms:

$11x + 6 = 17$

Subtract 6 from both sides to isolate the $11x$:

$11x = 11$

Now, divide by 11 to solve for $x$:

$x = 1$

So, the solution to equation 1 is $x = 1$.

2. $19 - 5(3x - 1) = 9$

Distribute the -5 on the left side:

$19 - 15x + 5 = 9$

Combine like terms:

$-15x + 24 = 9$

Subtract 24 from both sides:

$-15x = -15$

Divide by -15 to solve for (x:

$x = 1$

So, the solution to equation 2 is $x = 1$.

3. $10x - 5 = 6(8x + 3) - 5x$

Distribute the 6 on the right side:

$10x - 5 = 48x + 18 - 5x$

Combine like terms:

$10x - 5 = 43x + 18$

Subtract 43x from both sides:

$10x - 43x - 5 = 18$

Combine like terms:

$-33x - 5 = 18$

Add 5 to both sides:

$-33x = 23$

Divide by -33 to solve for $x$:

$x = -23/33$ (which simplifies to $x = -7/11$ if you reduce the fraction)

So, the solution to equation 3 is $x = -7/11$ or $-23/33$.

4. $-10(3 - 4x) - 51 = 7(5x + 3)$

Distribute the -10 on the left side and the 7 on the right side:

$-30 + 40x - 51 = 35x + 21$

Combine like terms:

$40x - 30 - 51 = 35x + 21$

Combine like terms again:

$40x - 81 = 35x + 21$

Subtract 35x from both sides:

$5x - 81 = 21$

Add 81 to both sides:

$5x = 102$

Divide by 5 to solve for $x$:

$x = 102/5$ (which is $x = 20.4$)

So, the solution to equation 4 is $x = 20.4$.

5. $6x - 5(x - 2) = 5(x - 1) - 8$

Distribute the -5 and 5 on their respective terms:

$6x - 5x + 10 = 5x - 5 - 8$

Combine like terms:

$x + 10 = 5x - 13$

Subtract x from both sides:

$10 = 4x - 13$

Add 13 to both sides:

$23 = 4x$

Divide by 4 to solve for $x$:

$x = 23/4$ (which is $x = 5.75$)

So, the solution to equation 5 is $x = 5.75$.