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

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


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

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

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

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

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

Combine like terms: 2x + -1x = 1x
-5 + 1x = 5(x + 1)

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

Solving
-5 + 1x = 5 + 5x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 5 + 5 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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