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

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


Simplifying
5x + -8 + 2x = -3x + 2

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

Combine like terms: 5x + 2x = 7x
-8 + 7x = -3x + 2

Reorder the terms:
-8 + 7x = 2 + -3x

Solving
-8 + 7x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 7x + 3x = 2 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-8 + 10x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 10x = 2 + 0
-8 + 10x = 2

Add '8' to each side of the equation.
-8 + 8 + 10x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 2 + 8
10x = 2 + 8

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

Divide each side by '10'.
x = 1

Simplifying
x = 1

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