x-4=2(3x-4)+8x-4

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Solution for x-4=2(3x-4)+8x-4 equation:


Simplifying
x + -4 = 2(3x + -4) + 8x + -4

Reorder the terms:
-4 + x = 2(3x + -4) + 8x + -4

Reorder the terms:
-4 + x = 2(-4 + 3x) + 8x + -4
-4 + x = (-4 * 2 + 3x * 2) + 8x + -4
-4 + x = (-8 + 6x) + 8x + -4

Reorder the terms:
-4 + x = -8 + -4 + 6x + 8x

Combine like terms: -8 + -4 = -12
-4 + x = -12 + 6x + 8x

Combine like terms: 6x + 8x = 14x
-4 + x = -12 + 14x

Solving
-4 + x = -12 + 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.
-4 + x + -14x = -12 + 14x + -14x

Combine like terms: x + -14x = -13x
-4 + -13x = -12 + 14x + -14x

Combine like terms: 14x + -14x = 0
-4 + -13x = -12 + 0
-4 + -13x = -12

Add '4' to each side of the equation.
-4 + 4 + -13x = -12 + 4

Combine like terms: -4 + 4 = 0
0 + -13x = -12 + 4
-13x = -12 + 4

Combine like terms: -12 + 4 = -8
-13x = -8

Divide each side by '-13'.
x = 0.6153846154

Simplifying
x = 0.6153846154

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