5x-10-2x+2=(2+x)+3-3x

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Solution for 5x-10-2x+2=(2+x)+3-3x equation:


Simplifying
5x + -10 + -2x + 2 = (2 + x) + 3 + -3x

Reorder the terms:
-10 + 2 + 5x + -2x = (2 + x) + 3 + -3x

Combine like terms: -10 + 2 = -8
-8 + 5x + -2x = (2 + x) + 3 + -3x

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

Remove parenthesis around (2 + x)
-8 + 3x = 2 + x + 3 + -3x

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

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

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

Solving
-8 + 3x = 5 + -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.
-8 + 3x + 2x = 5 + -2x + 2x

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

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

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

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

Combine like terms: 5 + 8 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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