6x-61=8x+31

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Solution for 6x-61=8x+31 equation:


Simplifying
6x + -61 = 8x + 31

Reorder the terms:
-61 + 6x = 8x + 31

Reorder the terms:
-61 + 6x = 31 + 8x

Solving
-61 + 6x = 31 + 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.
-61 + 6x + -8x = 31 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-61 + -2x = 31 + 8x + -8x

Combine like terms: 8x + -8x = 0
-61 + -2x = 31 + 0
-61 + -2x = 31

Add '61' to each side of the equation.
-61 + 61 + -2x = 31 + 61

Combine like terms: -61 + 61 = 0
0 + -2x = 31 + 61
-2x = 31 + 61

Combine like terms: 31 + 61 = 92
-2x = 92

Divide each side by '-2'.
x = -46

Simplifying
x = -46

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