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

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


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

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

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

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

Combine like terms: 3 + -2 = 1
1 + 3x + 2x = x + -2

Combine like terms: 3x + 2x = 5x
1 + 5x = x + -2

Reorder the terms:
1 + 5x = -2 + x

Solving
1 + 5x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1 + 5x + -1x = -2 + x + -1x

Combine like terms: 5x + -1x = 4x
1 + 4x = -2 + x + -1x

Combine like terms: x + -1x = 0
1 + 4x = -2 + 0
1 + 4x = -2

Add '-1' to each side of the equation.
1 + -1 + 4x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = -2 + -1
4x = -2 + -1

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

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

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