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

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


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

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

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

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

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

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

Solving
-2 + 3x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + 3x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-2 + -1x = -5 + 0
-2 + -1x = -5

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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