-9.78(27x-65)=78+24(6x+34)

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Solution for -9.78(27x-65)=78+24(6x+34) equation:


Simplifying
-9.78(27x + -65) = 78 + 24(6x + 34)

Reorder the terms:
-9.78(-65 + 27x) = 78 + 24(6x + 34)
(-65 * -9.78 + 27x * -9.78) = 78 + 24(6x + 34)
(635.7 + -264.06x) = 78 + 24(6x + 34)

Reorder the terms:
635.7 + -264.06x = 78 + 24(34 + 6x)
635.7 + -264.06x = 78 + (34 * 24 + 6x * 24)
635.7 + -264.06x = 78 + (816 + 144x)

Combine like terms: 78 + 816 = 894
635.7 + -264.06x = 894 + 144x

Solving
635.7 + -264.06x = 894 + 144x

Solving for variable 'x'.

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

Add '-144x' to each side of the equation.
635.7 + -264.06x + -144x = 894 + 144x + -144x

Combine like terms: -264.06x + -144x = -408.06x
635.7 + -408.06x = 894 + 144x + -144x

Combine like terms: 144x + -144x = 0
635.7 + -408.06x = 894 + 0
635.7 + -408.06x = 894

Add '-635.7' to each side of the equation.
635.7 + -635.7 + -408.06x = 894 + -635.7

Combine like terms: 635.7 + -635.7 = 0.0
0.0 + -408.06x = 894 + -635.7
-408.06x = 894 + -635.7

Combine like terms: 894 + -635.7 = 258.3
-408.06x = 258.3

Divide each side by '-408.06'.
x = -0.6329951478

Simplifying
x = -0.6329951478

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