2(x+1)+3(x-1)=x-5

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Solution for 2(x+1)+3(x-1)=x-5 equation: 


Simplifying
2(x + 1) + 3(x + -1) = x + -5

Reorder the terms:
2(1 + x) + 3(x + -1) = x + -5
(1 * 2 + x * 2) + 3(x + -1) = x + -5
(2 + 2x) + 3(x + -1) = x + -5

Reorder the terms:
2 + 2x + 3(-1 + x) = x + -5
2 + 2x + (-1 * 3 + x * 3) = x + -5
2 + 2x + (-3 + 3x) = x + -5

Reorder the terms:
2 + -3 + 2x + 3x = x + -5

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

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

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

Solving
-1 + 5x = -5 + 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 = -5 + x + -1x

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

Combine like terms: x + -1x = 0
-1 + 4x = -5 + 0
-1 + 4x = -5

Add '1' to each side of the equation.
-1 + 1 + 4x = -5 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = -5 + 1
4x = -5 + 1

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

Divide each side by '4'.
x = -1

Simplifying
x = -1

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