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

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


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

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

Reorder the terms:
-6 + 6x = 2(-5 + 2x)
-6 + 6x = (-5 * 2 + 2x * 2)
-6 + 6x = (-10 + 4x)

Solving
-6 + 6x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 6x + -4x = -10 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-6 + 2x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 2x = -10 + 0
-6 + 2x = -10

Add '6' to each side of the equation.
-6 + 6 + 2x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -10 + 6
2x = -10 + 6

Combine like terms: -10 + 6 = -4
2x = -4

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

Simplifying
x = -2

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