6(24-x)=5x+78

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Solution for 6(24-x)=5x+78 equation:


Simplifying
6(24 + -1x) = 5x + 78
(24 * 6 + -1x * 6) = 5x + 78
(144 + -6x) = 5x + 78

Reorder the terms:
144 + -6x = 78 + 5x

Solving
144 + -6x = 78 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
144 + -6x + -5x = 78 + 5x + -5x

Combine like terms: -6x + -5x = -11x
144 + -11x = 78 + 5x + -5x

Combine like terms: 5x + -5x = 0
144 + -11x = 78 + 0
144 + -11x = 78

Add '-144' to each side of the equation.
144 + -144 + -11x = 78 + -144

Combine like terms: 144 + -144 = 0
0 + -11x = 78 + -144
-11x = 78 + -144

Combine like terms: 78 + -144 = -66
-11x = -66

Divide each side by '-11'.
x = 6

Simplifying
x = 6

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