6(x-1)-3=-4(-6x+4)-4x

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Solution for 6(x-1)-3=-4(-6x+4)-4x equation:


Simplifying
6(x + -1) + -3 = -4(-6x + 4) + -4x

Reorder the terms:
6(-1 + x) + -3 = -4(-6x + 4) + -4x
(-1 * 6 + x * 6) + -3 = -4(-6x + 4) + -4x
(-6 + 6x) + -3 = -4(-6x + 4) + -4x

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

Combine like terms: -6 + -3 = -9
-9 + 6x = -4(-6x + 4) + -4x

Reorder the terms:
-9 + 6x = -4(4 + -6x) + -4x
-9 + 6x = (4 * -4 + -6x * -4) + -4x
-9 + 6x = (-16 + 24x) + -4x

Combine like terms: 24x + -4x = 20x
-9 + 6x = -16 + 20x

Solving
-9 + 6x = -16 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-9 + 6x + -20x = -16 + 20x + -20x

Combine like terms: 6x + -20x = -14x
-9 + -14x = -16 + 20x + -20x

Combine like terms: 20x + -20x = 0
-9 + -14x = -16 + 0
-9 + -14x = -16

Add '9' to each side of the equation.
-9 + 9 + -14x = -16 + 9

Combine like terms: -9 + 9 = 0
0 + -14x = -16 + 9
-14x = -16 + 9

Combine like terms: -16 + 9 = -7
-14x = -7

Divide each side by '-14'.
x = 0.5

Simplifying
x = 0.5

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