12-44=5(x-2)-7

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Solution for 12-44=5(x-2)-7 equation:


Simplifying
12 + -44 = 5(x + -2) + -7

Combine like terms: 12 + -44 = -32
-32 = 5(x + -2) + -7

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

Reorder the terms:
-32 = -10 + -7 + 5x

Combine like terms: -10 + -7 = -17
-32 = -17 + 5x

Solving
-32 = -17 + 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 = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-32 + -5x = -17 + 0
-32 + -5x = -17

Add '32' to each side of the equation.
-32 + 32 + -5x = -17 + 32

Combine like terms: -32 + 32 = 0
0 + -5x = -17 + 32
-5x = -17 + 32

Combine like terms: -17 + 32 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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