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

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


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

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

Remove parenthesis around (-5 + 3x)
x + -5 + 3x + -5x = -1(2x + 2)

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

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

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

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

Solving
-5 + -1x = -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.
-5 + -1x + 2x = -2 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-5 + 1x = -2 + 0
-5 + 1x = -2

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

Combine like terms: -5 + 5 = 0
0 + 1x = -2 + 5
1x = -2 + 5

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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