3x+2-x=6+5x-3

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Solution for 3x+2-x=6+5x-3 equation:


Simplifying
3x + 2 + -1x = 6 + 5x + -3

Reorder the terms:
2 + 3x + -1x = 6 + 5x + -3

Combine like terms: 3x + -1x = 2x
2 + 2x = 6 + 5x + -3

Reorder the terms:
2 + 2x = 6 + -3 + 5x

Combine like terms: 6 + -3 = 3
2 + 2x = 3 + 5x

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

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

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

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

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

Combine like terms: 3 + -2 = 1
-3x = 1

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

Simplifying
x = -0.3333333333

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