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

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


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

Reorder the terms:
5x + -2(2 + 2x) = x + (3x + -5)
5x + (2 * -2 + 2x * -2) = x + (3x + -5)
5x + (-4 + -4x) = x + (3x + -5)

Reorder the terms:
-4 + 5x + -4x = x + (3x + -5)

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

Reorder the terms:
-4 + 1x = x + (-5 + 3x)

Remove parenthesis around (-5 + 3x)
-4 + 1x = x + -5 + 3x

Reorder the terms:
-4 + 1x = -5 + x + 3x

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

Solving
-4 + 1x = -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.
-4 + 1x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-4 + -3x = -5 + 0
-4 + -3x = -5

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

Combine like terms: -4 + 4 = 0
0 + -3x = -5 + 4
-3x = -5 + 4

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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