-(x-7)=28-4x

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Solution for -(x-7)=28-4x equation:


Simplifying
-1(x + -7) = 28 + -4x

Reorder the terms:
-1(-7 + x) = 28 + -4x
(-7 * -1 + x * -1) = 28 + -4x
(7 + -1x) = 28 + -4x

Solving
7 + -1x = 28 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
7 + -1x + 4x = 28 + -4x + 4x

Combine like terms: -1x + 4x = 3x
7 + 3x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
7 + 3x = 28 + 0
7 + 3x = 28

Add '-7' to each side of the equation.
7 + -7 + 3x = 28 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 28 + -7
3x = 28 + -7

Combine like terms: 28 + -7 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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