2x+96=3x-80

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Solution for 2x+96=3x-80 equation:


Simplifying
2x + 96 = 3x + -80

Reorder the terms:
96 + 2x = 3x + -80

Reorder the terms:
96 + 2x = -80 + 3x

Solving
96 + 2x = -80 + 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.
96 + 2x + -3x = -80 + 3x + -3x

Combine like terms: 2x + -3x = -1x
96 + -1x = -80 + 3x + -3x

Combine like terms: 3x + -3x = 0
96 + -1x = -80 + 0
96 + -1x = -80

Add '-96' to each side of the equation.
96 + -96 + -1x = -80 + -96

Combine like terms: 96 + -96 = 0
0 + -1x = -80 + -96
-1x = -80 + -96

Combine like terms: -80 + -96 = -176
-1x = -176

Divide each side by '-1'.
x = 176

Simplifying
x = 176

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