-5x+6=2+3x+8

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Solution for -5x+6=2+3x+8 equation:


Simplifying
-5x + 6 = 2 + 3x + 8

Reorder the terms:
6 + -5x = 2 + 3x + 8

Reorder the terms:
6 + -5x = 2 + 8 + 3x

Combine like terms: 2 + 8 = 10
6 + -5x = 10 + 3x

Solving
6 + -5x = 10 + 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 = 10 + 3x + -3x

Combine like terms: -5x + -3x = -8x
6 + -8x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -8x = 10 + 0
6 + -8x = 10

Add '-6' to each side of the equation.
6 + -6 + -8x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 10 + -6
-8x = 10 + -6

Combine like terms: 10 + -6 = 4
-8x = 4

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

Simplifying
x = -0.5

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