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

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


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

Reorder the terms:
4 + -3(-2 + x) = x + -12
4 + (-2 * -3 + x * -3) = x + -12
4 + (6 + -3x) = x + -12

Combine like terms: 4 + 6 = 10
10 + -3x = x + -12

Reorder the terms:
10 + -3x = -12 + x

Solving
10 + -3x = -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.
10 + -3x + -1x = -12 + x + -1x

Combine like terms: -3x + -1x = -4x
10 + -4x = -12 + x + -1x

Combine like terms: x + -1x = 0
10 + -4x = -12 + 0
10 + -4x = -12

Add '-10' to each side of the equation.
10 + -10 + -4x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -12 + -10
-4x = -12 + -10

Combine like terms: -12 + -10 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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