-5x+6=3x+2

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


Simplifying
-5x + 6 = 3x + 2

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

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

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

Combine like terms: -5x + -3x = -8x
6 + -8x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -8x = 2 + 0
6 + -8x = 2

Add '-6' to each side of the equation.
6 + -6 + -8x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 2 + -6
-8x = 2 + -6

Combine like terms: 2 + -6 = -4
-8x = -4

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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