5x-(2x+2)=x-(3x-8)

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Solution for 5x-(2x+2)=x-(3x-8) equation:


Simplifying
5x + -1(2x + 2) = x + -1(3x + -8)

Reorder the terms:
5x + -1(2 + 2x) = x + -1(3x + -8)
5x + (2 * -1 + 2x * -1) = x + -1(3x + -8)
5x + (-2 + -2x) = x + -1(3x + -8)

Reorder the terms:
-2 + 5x + -2x = x + -1(3x + -8)

Combine like terms: 5x + -2x = 3x
-2 + 3x = x + -1(3x + -8)

Reorder the terms:
-2 + 3x = x + -1(-8 + 3x)
-2 + 3x = x + (-8 * -1 + 3x * -1)
-2 + 3x = x + (8 + -3x)

Reorder the terms:
-2 + 3x = 8 + x + -3x

Combine like terms: x + -3x = -2x
-2 + 3x = 8 + -2x

Solving
-2 + 3x = 8 + -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.
-2 + 3x + 2x = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-2 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 5x = 8 + 0
-2 + 5x = 8

Add '2' to each side of the equation.
-2 + 2 + 5x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 8 + 2
5x = 8 + 2

Combine like terms: 8 + 2 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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