78-2x=7x+24

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Solution for 78-2x=7x+24 equation:


Simplifying
78 + -2x = 7x + 24

Reorder the terms:
78 + -2x = 24 + 7x

Solving
78 + -2x = 24 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
78 + -2x + -7x = 24 + 7x + -7x

Combine like terms: -2x + -7x = -9x
78 + -9x = 24 + 7x + -7x

Combine like terms: 7x + -7x = 0
78 + -9x = 24 + 0
78 + -9x = 24

Add '-78' to each side of the equation.
78 + -78 + -9x = 24 + -78

Combine like terms: 78 + -78 = 0
0 + -9x = 24 + -78
-9x = 24 + -78

Combine like terms: 24 + -78 = -54
-9x = -54

Divide each side by '-9'.
x = 6

Simplifying
x = 6

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