4(2x-1)=2(x-1)+12

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Solution for 4(2x-1)=2(x-1)+12 equation:


Simplifying
4(2x + -1) = 2(x + -1) + 12

Reorder the terms:
4(-1 + 2x) = 2(x + -1) + 12
(-1 * 4 + 2x * 4) = 2(x + -1) + 12
(-4 + 8x) = 2(x + -1) + 12

Reorder the terms:
-4 + 8x = 2(-1 + x) + 12
-4 + 8x = (-1 * 2 + x * 2) + 12
-4 + 8x = (-2 + 2x) + 12

Reorder the terms:
-4 + 8x = -2 + 12 + 2x

Combine like terms: -2 + 12 = 10
-4 + 8x = 10 + 2x

Solving
-4 + 8x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 8x + -2x = 10 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-4 + 6x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 6x = 10 + 0
-4 + 6x = 10

Add '4' to each side of the equation.
-4 + 4 + 6x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 10 + 4
6x = 10 + 4

Combine like terms: 10 + 4 = 14
6x = 14

Divide each side by '6'.
x = 2.333333333

Simplifying
x = 2.333333333

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