78-3x=2x+8

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Solution for 78-3x=2x+8 equation:


Simplifying
78 + -3x = 2x + 8

Reorder the terms:
78 + -3x = 8 + 2x

Solving
78 + -3x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
78 + -3x + -2x = 8 + 2x + -2x

Combine like terms: -3x + -2x = -5x
78 + -5x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
78 + -5x = 8 + 0
78 + -5x = 8

Add '-78' to each side of the equation.
78 + -78 + -5x = 8 + -78

Combine like terms: 78 + -78 = 0
0 + -5x = 8 + -78
-5x = 8 + -78

Combine like terms: 8 + -78 = -70
-5x = -70

Divide each side by '-5'.
x = 14

Simplifying
x = 14

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