5x-8=3(2x-2)

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Solution for 5x-8=3(2x-2) equation:


Simplifying
5x + -8 = 3(2x + -2)

Reorder the terms:
-8 + 5x = 3(2x + -2)

Reorder the terms:
-8 + 5x = 3(-2 + 2x)
-8 + 5x = (-2 * 3 + 2x * 3)
-8 + 5x = (-6 + 6x)

Solving
-8 + 5x = -6 + 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 + 5x + -6x = -6 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-8 + -1x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -1x = -6 + 0
-8 + -1x = -6

Add '8' to each side of the equation.
-8 + 8 + -1x = -6 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -6 + 8
-1x = -6 + 8

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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