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

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


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

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

Combine like terms: 12 + -2 = 10
10 + -1x = -2(4 + -1x)
10 + -1x = (4 * -2 + -1x * -2)
10 + -1x = (-8 + 2x)

Solving
10 + -1x = -8 + 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.
10 + -1x + -2x = -8 + 2x + -2x

Combine like terms: -1x + -2x = -3x
10 + -3x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -3x = -8 + 0
10 + -3x = -8

Add '-10' to each side of the equation.
10 + -10 + -3x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -8 + -10
-3x = -8 + -10

Combine like terms: -8 + -10 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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