2(x-4)-3(x+1)=-12

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Solution for 2(x-4)-3(x+1)=-12 equation:


Simplifying
2(x + -4) + -3(x + 1) = -12

Reorder the terms:
2(-4 + x) + -3(x + 1) = -12
(-4 * 2 + x * 2) + -3(x + 1) = -12
(-8 + 2x) + -3(x + 1) = -12

Reorder the terms:
-8 + 2x + -3(1 + x) = -12
-8 + 2x + (1 * -3 + x * -3) = -12
-8 + 2x + (-3 + -3x) = -12

Reorder the terms:
-8 + -3 + 2x + -3x = -12

Combine like terms: -8 + -3 = -11
-11 + 2x + -3x = -12

Combine like terms: 2x + -3x = -1x
-11 + -1x = -12

Solving
-11 + -1x = -12

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + -1x = -12 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = -12 + 11
-1x = -12 + 11

Combine like terms: -12 + 11 = -1
-1x = -1

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

Simplifying
x = 1

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