Question

2(2/5+1)+3(1/3)=4-1/2(4/5x-1)

Answer 1

Ответ:

x=(-0.75)

Пошаговое объяснение:

4/5+2+1=4-4/10x-1/2

0.8+3=4-0.4x-0.5

-0.4x=4-3-0.8-0.5

-0.4x=0.3 |*(-10)

4x=-3

x=(-3/4)=(-0.75)

Answer 2

Let's solve the equation step by step:

First, let's simplify the left side of the equation:

2(2/5 + 1) + 3(1/3) = 2(2/5 + 5/5) + 3(1/3) = 2(7/5) + 3(1/3)

To add fractions, we need a common denominator, which in this case is 5:

= (2 * 7/5) + 3(1/3) = 14/5 + 3(1/3)

Now, let's simplify the right side of the equation:

4 - 1/2(4/5x - 1) = 4 - (1/2)(4/5x - 1) = 4 - (2/10x - 1/2) = 4 - 2/10x + 1/2

Now we can rewrite the equation:

14/5 + 3(1/3) = 4 - 2/10x + 1/2

To solve the equation, we need to find a common denominator for all the fractions involved. In this case, the common denominator is 10:

= 14/5 + (3/3)(1/3) = 4 - (2/10x) + (1/2)(5/5)

= 14/5 + 3/9 = 4 - 2/10x + 5/10

Now, let's simplify the fractions:

14/5 + 3/9 = 4 - 2/10x + 5/10

To add the fractions, we need a common denominator, which in this case is 45:

= (14/5)(9/9) + (3/9)(5/5) = 4(45/45) - (2/10x)(9/9) + (5/10)(9/9)

= 126/45 + 15/45 = 180/45 - 18/10x + 45/90

Now, let's simplify further:

= 141/45 = 180/45 - 18/10x + 45/90

Since the denominators are equal, we can combine the numerators:

141/45 = (180 - 18/10x + 45)/90

Now, let's simplify the equation:

141/45 = (180 - 18/10x + 45)/90

To remove the fractions, we can multiply both sides of the equation by 45:

(141/45) * 45 = (180 - 18/10x + 45)/90 * 45

141 = (180 - 18/10x + 45)/2

To eliminate the denominator, we can multiply both sides of the equation by 2:

141 * 2 = 180 - 18/10x + 45

282 = 180 - 18/10x + 45

Now, let's simplify further:

282 = 180 - 18/10x + 45

Combine like terms:

282 = 225 - 18/10x

Next, let's isolate the variable term:

18/10x = 225 - 282 18/10x = -57

To solve for x, we can multiply both sides of the equation by (10/18):

(10/18) * (18/10x) = (10/18) * (-57) 1/x = -57/18

Finally, let's simplify:

1/x = -19/6

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