8x-109=5x+42

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Solution for 8x-109=5x+42 equation:


Simplifying
8x + -109 = 5x + 42

Reorder the terms:
-109 + 8x = 5x + 42

Reorder the terms:
-109 + 8x = 42 + 5x

Solving
-109 + 8x = 42 + 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.
-109 + 8x + -5x = 42 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-109 + 3x = 42 + 5x + -5x

Combine like terms: 5x + -5x = 0
-109 + 3x = 42 + 0
-109 + 3x = 42

Add '109' to each side of the equation.
-109 + 109 + 3x = 42 + 109

Combine like terms: -109 + 109 = 0
0 + 3x = 42 + 109
3x = 42 + 109

Combine like terms: 42 + 109 = 151
3x = 151

Divide each side by '3'.
x = 50.33333333

Simplifying
x = 50.33333333

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