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

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


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

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

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

Solving
-3 + 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.
-3 + 5x + -6x = -6 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-3 + -1x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -1x = -6 + 0
-3 + -1x = -6

Add '3' to each side of the equation.
-3 + 3 + -1x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -6 + 3
-1x = -6 + 3

Combine like terms: -6 + 3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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