5x-78=2x-9

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Solution for 5x-78=2x-9 equation:


Simplifying
5x + -78 = 2x + -9

Reorder the terms:
-78 + 5x = 2x + -9

Reorder the terms:
-78 + 5x = -9 + 2x

Solving
-78 + 5x = -9 + 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 + 5x + -2x = -9 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-78 + 3x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-78 + 3x = -9 + 0
-78 + 3x = -9

Add '78' to each side of the equation.
-78 + 78 + 3x = -9 + 78

Combine like terms: -78 + 78 = 0
0 + 3x = -9 + 78
3x = -9 + 78

Combine like terms: -9 + 78 = 69
3x = 69

Divide each side by '3'.
x = 23

Simplifying
x = 23

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