2(x-1)+3(x-2)=x-12

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Solution for 2(x-1)+3(x-2)=x-12 equation: 


Simplifying
2(x + -1) + 3(x + -2) = x + -12

Reorder the terms:
2(-1 + x) + 3(x + -2) = x + -12
(-1 * 2 + x * 2) + 3(x + -2) = x + -12
(-2 + 2x) + 3(x + -2) = x + -12

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

Reorder the terms:
-2 + -6 + 2x + 3x = x + -12

Combine like terms: -2 + -6 = -8
-8 + 2x + 3x = x + -12

Combine like terms: 2x + 3x = 5x
-8 + 5x = x + -12

Reorder the terms:
-8 + 5x = -12 + x

Solving
-8 + 5x = -12 + 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.
-8 + 5x + -1x = -12 + x + -1x

Combine like terms: 5x + -1x = 4x
-8 + 4x = -12 + x + -1x

Combine like terms: x + -1x = 0
-8 + 4x = -12 + 0
-8 + 4x = -12

Add '8' to each side of the equation.
-8 + 8 + 4x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = -12 + 8
4x = -12 + 8

Combine like terms: -12 + 8 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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