32=-2(23-x)+3(x-4)

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Solution for 32=-2(23-x)+3(x-4) equation: 


Simplifying
32 = -2(23 + -1x) + 3(x + -4)
32 = (23 * -2 + -1x * -2) + 3(x + -4)
32 = (-46 + 2x) + 3(x + -4)

Reorder the terms:
32 = -46 + 2x + 3(-4 + x)
32 = -46 + 2x + (-4 * 3 + x * 3)
32 = -46 + 2x + (-12 + 3x)

Reorder the terms:
32 = -46 + -12 + 2x + 3x

Combine like terms: -46 + -12 = -58
32 = -58 + 2x + 3x

Combine like terms: 2x + 3x = 5x
32 = -58 + 5x

Solving
32 = -58 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
32 + -5x = -58 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + -5x = -58 + 0
32 + -5x = -58

Add '-32' to each side of the equation.
32 + -32 + -5x = -58 + -32

Combine like terms: 32 + -32 = 0
0 + -5x = -58 + -32
-5x = -58 + -32

Combine like terms: -58 + -32 = -90
-5x = -90

Divide each side by '-5'.
x = 18

Simplifying
x = 18

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