2x+61=3x-8

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Solution for 2x+61=3x-8 equation:


Simplifying
2x + 61 = 3x + -8

Reorder the terms:
61 + 2x = 3x + -8

Reorder the terms:
61 + 2x = -8 + 3x

Solving
61 + 2x = -8 + 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.
61 + 2x + -3x = -8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
61 + -1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
61 + -1x = -8 + 0
61 + -1x = -8

Add '-61' to each side of the equation.
61 + -61 + -1x = -8 + -61

Combine like terms: 61 + -61 = 0
0 + -1x = -8 + -61
-1x = -8 + -61

Combine like terms: -8 + -61 = -69
-1x = -69

Divide each side by '-1'.
x = 69

Simplifying
x = 69

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