-x-32=2(5x-3)+7

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Solution for -x-32=2(5x-3)+7 equation:


Simplifying
-1x + -32 = 2(5x + -3) + 7

Reorder the terms:
-32 + -1x = 2(5x + -3) + 7

Reorder the terms:
-32 + -1x = 2(-3 + 5x) + 7
-32 + -1x = (-3 * 2 + 5x * 2) + 7
-32 + -1x = (-6 + 10x) + 7

Reorder the terms:
-32 + -1x = -6 + 7 + 10x

Combine like terms: -6 + 7 = 1
-32 + -1x = 1 + 10x

Solving
-32 + -1x = 1 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-32 + -1x + -10x = 1 + 10x + -10x

Combine like terms: -1x + -10x = -11x
-32 + -11x = 1 + 10x + -10x

Combine like terms: 10x + -10x = 0
-32 + -11x = 1 + 0
-32 + -11x = 1

Add '32' to each side of the equation.
-32 + 32 + -11x = 1 + 32

Combine like terms: -32 + 32 = 0
0 + -11x = 1 + 32
-11x = 1 + 32

Combine like terms: 1 + 32 = 33
-11x = 33

Divide each side by '-11'.
x = -3

Simplifying
x = -3

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