2(2x-4)=2x+3(x-6)

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Solution for 2(2x-4)=2x+3(x-6) equation:


Simplifying
2(2x + -4) = 2x + 3(x + -6)

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

Reorder the terms:
-8 + 4x = 2x + 3(-6 + x)
-8 + 4x = 2x + (-6 * 3 + x * 3)
-8 + 4x = 2x + (-18 + 3x)

Reorder the terms:
-8 + 4x = -18 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-8 + 4x = -18 + 5x

Solving
-8 + 4x = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 4x + -5x = -18 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-8 + -1x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -1x = -18 + 0
-8 + -1x = -18

Add '8' to each side of the equation.
-8 + 8 + -1x = -18 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -18 + 8
-1x = -18 + 8

Combine like terms: -18 + 8 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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