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

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


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

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

Reorder the terms:
-12 + 12x + -3(-3 + 2x) = 3
-12 + 12x + (-3 * -3 + 2x * -3) = 3
-12 + 12x + (9 + -6x) = 3

Reorder the terms:
-12 + 9 + 12x + -6x = 3

Combine like terms: -12 + 9 = -3
-3 + 12x + -6x = 3

Combine like terms: 12x + -6x = 6x
-3 + 6x = 3

Solving
-3 + 6x = 3

Solving for variable 'x'.

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

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

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

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

Divide each side by '6'.
x = 1

Simplifying
x = 1

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