78-2x=3x+23

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Solution for 78-2x=3x+23 equation:


Simplifying
78 + -2x = 3x + 23

Reorder the terms:
78 + -2x = 23 + 3x

Solving
78 + -2x = 23 + 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.
78 + -2x + -3x = 23 + 3x + -3x

Combine like terms: -2x + -3x = -5x
78 + -5x = 23 + 3x + -3x

Combine like terms: 3x + -3x = 0
78 + -5x = 23 + 0
78 + -5x = 23

Add '-78' to each side of the equation.
78 + -78 + -5x = 23 + -78

Combine like terms: 78 + -78 = 0
0 + -5x = 23 + -78
-5x = 23 + -78

Combine like terms: 23 + -78 = -55
-5x = -55

Divide each side by '-5'.
x = 11

Simplifying
x = 11

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