4(x-1)-6=2(-6x+9)-2x

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Solution for 4(x-1)-6=2(-6x+9)-2x equation:


Simplifying
4(x + -1) + -6 = 2(-6x + 9) + -2x

Reorder the terms:
4(-1 + x) + -6 = 2(-6x + 9) + -2x
(-1 * 4 + x * 4) + -6 = 2(-6x + 9) + -2x
(-4 + 4x) + -6 = 2(-6x + 9) + -2x

Reorder the terms:
-4 + -6 + 4x = 2(-6x + 9) + -2x

Combine like terms: -4 + -6 = -10
-10 + 4x = 2(-6x + 9) + -2x

Reorder the terms:
-10 + 4x = 2(9 + -6x) + -2x
-10 + 4x = (9 * 2 + -6x * 2) + -2x
-10 + 4x = (18 + -12x) + -2x

Combine like terms: -12x + -2x = -14x
-10 + 4x = 18 + -14x

Solving
-10 + 4x = 18 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-10 + 4x + 14x = 18 + -14x + 14x

Combine like terms: 4x + 14x = 18x
-10 + 18x = 18 + -14x + 14x

Combine like terms: -14x + 14x = 0
-10 + 18x = 18 + 0
-10 + 18x = 18

Add '10' to each side of the equation.
-10 + 10 + 18x = 18 + 10

Combine like terms: -10 + 10 = 0
0 + 18x = 18 + 10
18x = 18 + 10

Combine like terms: 18 + 10 = 28
18x = 28

Divide each side by '18'.
x = 1.555555556

Simplifying
x = 1.555555556

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