12-2(x-4)=3(x+2)-11

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Solution for 12-2(x-4)=3(x+2)-11 equation: 


Simplifying
12 + -2(x + -4) = 3(x + 2) + -11

Reorder the terms:
12 + -2(-4 + x) = 3(x + 2) + -11
12 + (-4 * -2 + x * -2) = 3(x + 2) + -11
12 + (8 + -2x) = 3(x + 2) + -11

Combine like terms: 12 + 8 = 20
20 + -2x = 3(x + 2) + -11

Reorder the terms:
20 + -2x = 3(2 + x) + -11
20 + -2x = (2 * 3 + x * 3) + -11
20 + -2x = (6 + 3x) + -11

Reorder the terms:
20 + -2x = 6 + -11 + 3x

Combine like terms: 6 + -11 = -5
20 + -2x = -5 + 3x

Solving
20 + -2x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + -2x + -3x = -5 + 3x + -3x

Combine like terms: -2x + -3x = -5x
20 + -5x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -5x = -5 + 0
20 + -5x = -5

Add '-20' to each side of the equation.
20 + -20 + -5x = -5 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -5 + -20
-5x = -5 + -20

Combine like terms: -5 + -20 = -25
-5x = -25

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

Simplifying
x = 5

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