2(3x-4)-2x=2(x+1)

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Solution for 2(3x-4)-2x=2(x+1) equation:


Simplifying
2(3x + -4) + -2x = 2(x + 1)

Reorder the terms:
2(-4 + 3x) + -2x = 2(x + 1)
(-4 * 2 + 3x * 2) + -2x = 2(x + 1)
(-8 + 6x) + -2x = 2(x + 1)

Combine like terms: 6x + -2x = 4x
-8 + 4x = 2(x + 1)

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

Solving
-8 + 4x = 2 + 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.
-8 + 4x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-8 + 2x = 2 + 0
-8 + 2x = 2

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

Combine like terms: -8 + 8 = 0
0 + 2x = 2 + 8
2x = 2 + 8

Combine like terms: 2 + 8 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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