-4(x-12)+9-2x=10x+11+3x

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Solution for -4(x-12)+9-2x=10x+11+3x equation: 


Simplifying
-4(x + -12) + 9 + -2x = 10x + 11 + 3x

Reorder the terms:
-4(-12 + x) + 9 + -2x = 10x + 11 + 3x
(-12 * -4 + x * -4) + 9 + -2x = 10x + 11 + 3x
(48 + -4x) + 9 + -2x = 10x + 11 + 3x

Reorder the terms:
48 + 9 + -4x + -2x = 10x + 11 + 3x

Combine like terms: 48 + 9 = 57
57 + -4x + -2x = 10x + 11 + 3x

Combine like terms: -4x + -2x = -6x
57 + -6x = 10x + 11 + 3x

Reorder the terms:
57 + -6x = 11 + 10x + 3x

Combine like terms: 10x + 3x = 13x
57 + -6x = 11 + 13x

Solving
57 + -6x = 11 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
57 + -6x + -13x = 11 + 13x + -13x

Combine like terms: -6x + -13x = -19x
57 + -19x = 11 + 13x + -13x

Combine like terms: 13x + -13x = 0
57 + -19x = 11 + 0
57 + -19x = 11

Add '-57' to each side of the equation.
57 + -57 + -19x = 11 + -57

Combine like terms: 57 + -57 = 0
0 + -19x = 11 + -57
-19x = 11 + -57

Combine like terms: 11 + -57 = -46
-19x = -46

Divide each side by '-19'.
x = 2.421052632

Simplifying
x = 2.421052632

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