3(2x-2)-3=3(x-3)+12

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Solution for 3(2x-2)-3=3(x-3)+12 equation:


Simplifying
3(2x + -2) + -3 = 3(x + -3) + 12

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

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

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

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

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

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

Solving
-9 + 6x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 6x + -3x = 3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-9 + 3x = 3 + 0
-9 + 3x = 3

Add '9' to each side of the equation.
-9 + 9 + 3x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 3 + 9
3x = 3 + 9

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

Divide each side by '3'.
x = 4

Simplifying
x = 4

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