2(7-x)-4(x+3)=32-x

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Solution for 2(7-x)-4(x+3)=32-x equation:


Simplifying
2(7 + -1x) + -4(x + 3) = 32 + -1x
(7 * 2 + -1x * 2) + -4(x + 3) = 32 + -1x
(14 + -2x) + -4(x + 3) = 32 + -1x

Reorder the terms:
14 + -2x + -4(3 + x) = 32 + -1x
14 + -2x + (3 * -4 + x * -4) = 32 + -1x
14 + -2x + (-12 + -4x) = 32 + -1x

Reorder the terms:
14 + -12 + -2x + -4x = 32 + -1x

Combine like terms: 14 + -12 = 2
2 + -2x + -4x = 32 + -1x

Combine like terms: -2x + -4x = -6x
2 + -6x = 32 + -1x

Solving
2 + -6x = 32 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + -6x + x = 32 + -1x + x

Combine like terms: -6x + x = -5x
2 + -5x = 32 + -1x + x

Combine like terms: -1x + x = 0
2 + -5x = 32 + 0
2 + -5x = 32

Add '-2' to each side of the equation.
2 + -2 + -5x = 32 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 32 + -2
-5x = 32 + -2

Combine like terms: 32 + -2 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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