Respuesta :

mattwisey26
The correct answer is X=-2.

First remove the parentheses and factor out 2.

1/2•(2-6x)-4(x+3/2)=-(x-3)+4 turns into
1/2•2(1-3x)-4(x+3/2)=-(x-3)+4.
Then distribute -4 through the parentheses,
1/2•2(1-3x)-4x-6=-(x-3)+4
Then change the sign of the x-3 to x+3,
1/2•2(1-3x)-4x-6=-x+3+4

Then reduce the numbers with the greatest common factor which is 2,
and remove unnecessary parentheses,
1-3x-4x-6=-x+7
Then calculate the differences and collect like terms,
-5-7x=-x+7

Then move the variable to the left side and change its sign, and move the constant to the right hand side and change its sign,
-7x+x=7+5
Then add and collect the like terms,
-6x=12
And finally divide both sides by -6 to get X=-2.

Whew lol


eunice1234

Answer: x = -2

Step-by-step explanation:

Given expression

(1/2) (2 - 6x) - 4 (x + 3/2) = - (x - 3) + 4

Expand parentheses and apply the distributive property when there is a constant outside of the parentheses

(1/2) · 2 - (1/2) · 6x - 4 · x - 4 · (3/2) = - x + 3 + 4

1 - 3x - 4x - 6 = -x + 3 + 4

Combine like terms

(1 - 6) - (3x + 4x) = -x + (3 + 4)

-5 - 7x = -x + 7

Add x on both sides

-5 - 7x + x = -x + 7 + x

-5 - 6x = 7

Add 5 on both sides

-5 - 6x + 5 = 7 + 5

-6x = 12

Divide -6 on both sides

-6x / -6 = 12 / -6

[tex]\boxed{x=-2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

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