3(x-1)=-2(x-1)+6

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Solution for 3(x-1)=-2(x-1)+6 equation: 


Simplifying
3(x + -1) = -2(x + -1) + 6

Reorder the terms:
3(-1 + x) = -2(x + -1) + 6
(-1 * 3 + x * 3) = -2(x + -1) + 6
(-3 + 3x) = -2(x + -1) + 6

Reorder the terms:
-3 + 3x = -2(-1 + x) + 6
-3 + 3x = (-1 * -2 + x * -2) + 6
-3 + 3x = (2 + -2x) + 6

Reorder the terms:
-3 + 3x = 2 + 6 + -2x

Combine like terms: 2 + 6 = 8
-3 + 3x = 8 + -2x

Solving
-3 + 3x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + 3x + 2x = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-3 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 5x = 8 + 0
-3 + 5x = 8

Add '3' to each side of the equation.
-3 + 3 + 5x = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 8 + 3
5x = 8 + 3

Combine like terms: 8 + 3 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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