7-3(x-2)=2x-12

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Solution for 7-3(x-2)=2x-12 equation: 


Simplifying
7 + -3(x + -2) = 2x + -12

Reorder the terms:
7 + -3(-2 + x) = 2x + -12
7 + (-2 * -3 + x * -3) = 2x + -12
7 + (6 + -3x) = 2x + -12

Combine like terms: 7 + 6 = 13
13 + -3x = 2x + -12

Reorder the terms:
13 + -3x = -12 + 2x

Solving
13 + -3x = -12 + 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.
13 + -3x + -2x = -12 + 2x + -2x

Combine like terms: -3x + -2x = -5x
13 + -5x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -5x = -12 + 0
13 + -5x = -12

Add '-13' to each side of the equation.
13 + -13 + -5x = -12 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = -12 + -13
-5x = -12 + -13

Combine like terms: -12 + -13 = -25
-5x = -25

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

Simplifying
x = 5

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