3(x+1)-6=-2(x+1)+4

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Solution for 3(x+1)-6=-2(x+1)+4 equation: 


Simplifying
3(x + 1) + -6 = -2(x + 1) + 4

Reorder the terms:
3(1 + x) + -6 = -2(x + 1) + 4
(1 * 3 + x * 3) + -6 = -2(x + 1) + 4
(3 + 3x) + -6 = -2(x + 1) + 4

Reorder the terms:
3 + -6 + 3x = -2(x + 1) + 4

Combine like terms: 3 + -6 = -3
-3 + 3x = -2(x + 1) + 4

Reorder the terms:
-3 + 3x = -2(1 + x) + 4
-3 + 3x = (1 * -2 + x * -2) + 4
-3 + 3x = (-2 + -2x) + 4

Reorder the terms:
-3 + 3x = -2 + 4 + -2x

Combine like terms: -2 + 4 = 2
-3 + 3x = 2 + -2x

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

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

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 2 + 3

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

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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