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

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


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

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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: -5x + 5x = 0
2 + 3x = 8 + 0
2 + 3x = 8

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

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

Combine like terms: 8 + -2 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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