2(x-2)-5x=x-32

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Solution for 2(x-2)-5x=x-32 equation:


Simplifying
2(x + -2) + -5x = x + -32

Reorder the terms:
2(-2 + x) + -5x = x + -32
(-2 * 2 + x * 2) + -5x = x + -32
(-4 + 2x) + -5x = x + -32

Combine like terms: 2x + -5x = -3x
-4 + -3x = x + -32

Reorder the terms:
-4 + -3x = -32 + x

Solving
-4 + -3x = -32 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4 + -3x + -1x = -32 + x + -1x

Combine like terms: -3x + -1x = -4x
-4 + -4x = -32 + x + -1x

Combine like terms: x + -1x = 0
-4 + -4x = -32 + 0
-4 + -4x = -32

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

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

Combine like terms: -32 + 4 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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