2(2x-4)=3x-18+3x

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Solution for 2(2x-4)=3x-18+3x equation:


Simplifying
2(2x + -4) = 3x + -18 + 3x

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

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

Combine like terms: 3x + 3x = 6x
-8 + 4x = -18 + 6x

Solving
-8 + 4x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 4x + -6x = -18 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-8 + -2x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -2x = -18 + 0
-8 + -2x = -18

Add '8' to each side of the equation.
-8 + 8 + -2x = -18 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -18 + 8
-2x = -18 + 8

Combine like terms: -18 + 8 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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