3(x-1)+2(x-1)=3x+12

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Solution for 3(x-1)+2(x-1)=3x+12 equation: 


Simplifying
3(x + -1) + 2(x + -1) = 3x + 12

Reorder the terms:
3(-1 + x) + 2(x + -1) = 3x + 12
(-1 * 3 + x * 3) + 2(x + -1) = 3x + 12
(-3 + 3x) + 2(x + -1) = 3x + 12

Reorder the terms:
-3 + 3x + 2(-1 + x) = 3x + 12
-3 + 3x + (-1 * 2 + x * 2) = 3x + 12
-3 + 3x + (-2 + 2x) = 3x + 12

Reorder the terms:
-3 + -2 + 3x + 2x = 3x + 12

Combine like terms: -3 + -2 = -5
-5 + 3x + 2x = 3x + 12

Combine like terms: 3x + 2x = 5x
-5 + 5x = 3x + 12

Reorder the terms:
-5 + 5x = 12 + 3x

Solving
-5 + 5x = 12 + 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.
-5 + 5x + -3x = 12 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-5 + 2x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 2x = 12 + 0
-5 + 2x = 12

Add '5' to each side of the equation.
-5 + 5 + 2x = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 12 + 5
2x = 12 + 5

Combine like terms: 12 + 5 = 17
2x = 17

Divide each side by '2'.
x = 8.5

Simplifying
x = 8.5

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