5x+6-3x=34+8x-10

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Solution for 5x+6-3x=34+8x-10 equation:


Simplifying
5x + 6 + -3x = 34 + 8x + -10

Reorder the terms:
6 + 5x + -3x = 34 + 8x + -10

Combine like terms: 5x + -3x = 2x
6 + 2x = 34 + 8x + -10

Reorder the terms:
6 + 2x = 34 + -10 + 8x

Combine like terms: 34 + -10 = 24
6 + 2x = 24 + 8x

Solving
6 + 2x = 24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 2x + -8x = 24 + 8x + -8x

Combine like terms: 2x + -8x = -6x
6 + -6x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -6x = 24 + 0
6 + -6x = 24

Add '-6' to each side of the equation.
6 + -6 + -6x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = 24 + -6
-6x = 24 + -6

Combine like terms: 24 + -6 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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