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

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


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

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

Reorder the terms:
-12 + 4 + 2x = 4(4x + 2) + -4

Combine like terms: -12 + 4 = -8
-8 + 2x = 4(4x + 2) + -4

Reorder the terms:
-8 + 2x = 4(2 + 4x) + -4
-8 + 2x = (2 * 4 + 4x * 4) + -4
-8 + 2x = (8 + 16x) + -4

Reorder the terms:
-8 + 2x = 8 + -4 + 16x

Combine like terms: 8 + -4 = 4
-8 + 2x = 4 + 16x

Solving
-8 + 2x = 4 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-8 + 2x + -16x = 4 + 16x + -16x

Combine like terms: 2x + -16x = -14x
-8 + -14x = 4 + 16x + -16x

Combine like terms: 16x + -16x = 0
-8 + -14x = 4 + 0
-8 + -14x = 4

Add '8' to each side of the equation.
-8 + 8 + -14x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -14x = 4 + 8
-14x = 4 + 8

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

Divide each side by '-14'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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