4x-5(x-2)=12x+4-x

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Solution for 4x-5(x-2)=12x+4-x equation: 


Simplifying
4x + -5(x + -2) = 12x + 4 + -1x

Reorder the terms:
4x + -5(-2 + x) = 12x + 4 + -1x
4x + (-2 * -5 + x * -5) = 12x + 4 + -1x
4x + (10 + -5x) = 12x + 4 + -1x

Reorder the terms:
10 + 4x + -5x = 12x + 4 + -1x

Combine like terms: 4x + -5x = -1x
10 + -1x = 12x + 4 + -1x

Reorder the terms:
10 + -1x = 4 + 12x + -1x

Combine like terms: 12x + -1x = 11x
10 + -1x = 4 + 11x

Solving
10 + -1x = 4 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
10 + -1x + -11x = 4 + 11x + -11x

Combine like terms: -1x + -11x = -12x
10 + -12x = 4 + 11x + -11x

Combine like terms: 11x + -11x = 0
10 + -12x = 4 + 0
10 + -12x = 4

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

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

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

Divide each side by '-12'.
x = 0.5

Simplifying
x = 0.5

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