6(2x-2)=3(5x-5)

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Solution for 6(2x-2)=3(5x-5) equation:


Simplifying
6(2x + -2) = 3(5x + -5)

Reorder the terms:
6(-2 + 2x) = 3(5x + -5)
(-2 * 6 + 2x * 6) = 3(5x + -5)
(-12 + 12x) = 3(5x + -5)

Reorder the terms:
-12 + 12x = 3(-5 + 5x)
-12 + 12x = (-5 * 3 + 5x * 3)
-12 + 12x = (-15 + 15x)

Solving
-12 + 12x = -15 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-12 + 12x + -15x = -15 + 15x + -15x

Combine like terms: 12x + -15x = -3x
-12 + -3x = -15 + 15x + -15x

Combine like terms: 15x + -15x = 0
-12 + -3x = -15 + 0
-12 + -3x = -15

Add '12' to each side of the equation.
-12 + 12 + -3x = -15 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = -15 + 12
-3x = -15 + 12

Combine like terms: -15 + 12 = -3
-3x = -3

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

Simplifying
x = 1

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