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

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


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

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

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

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

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

Combine like terms: -3x + -1x = -4x
-2 + -4x = 5(x + 2)

Reorder the terms:
-2 + -4x = 5(2 + x)
-2 + -4x = (2 * 5 + x * 5)
-2 + -4x = (10 + 5x)

Solving
-2 + -4x = 10 + 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.
-2 + -4x + -5x = 10 + 5x + -5x

Combine like terms: -4x + -5x = -9x
-2 + -9x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -9x = 10 + 0
-2 + -9x = 10

Add '2' to each side of the equation.
-2 + 2 + -9x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = 10 + 2
-9x = 10 + 2

Combine like terms: 10 + 2 = 12
-9x = 12

Divide each side by '-9'.
x = -1.333333333

Simplifying
x = -1.333333333

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