4(x-1)=-2x+32

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Solution for 4(x-1)=-2x+32 equation: 


Simplifying
4(x + -1) = -2x + 32

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

Reorder the terms:
-4 + 4x = 32 + -2x

Solving
-4 + 4x = 32 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-4 + 4x + 2x = 32 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-4 + 6x = 32 + 0
-4 + 6x = 32

Add '4' to each side of the equation.
-4 + 4 + 6x = 32 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 32 + 4
6x = 32 + 4

Combine like terms: 32 + 4 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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