-9.78(27x-65)=78.24(6x+3)

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Solution for -9.78(27x-65)=78.24(6x+3) equation: 


Simplifying
-9.78(27x + -65) = 78.24(6x + 3)

Reorder the terms:
-9.78(-65 + 27x) = 78.24(6x + 3)
(-65 * -9.78 + 27x * -9.78) = 78.24(6x + 3)
(635.7 + -264.06x) = 78.24(6x + 3)

Reorder the terms:
635.7 + -264.06x = 78.24(3 + 6x)
635.7 + -264.06x = (3 * 78.24 + 6x * 78.24)
635.7 + -264.06x = (234.72 + 469.44x)

Solving
635.7 + -264.06x = 234.72 + 469.44x

Solving for variable 'x'.

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

Add '-469.44x' to each side of the equation.
635.7 + -264.06x + -469.44x = 234.72 + 469.44x + -469.44x

Combine like terms: -264.06x + -469.44x = -733.5x
635.7 + -733.5x = 234.72 + 469.44x + -469.44x

Combine like terms: 469.44x + -469.44x = 0.00
635.7 + -733.5x = 234.72 + 0.00
635.7 + -733.5x = 234.72

Add '-635.7' to each side of the equation.
635.7 + -635.7 + -733.5x = 234.72 + -635.7

Combine like terms: 635.7 + -635.7 = 0.0
0.0 + -733.5x = 234.72 + -635.7
-733.5x = 234.72 + -635.7

Combine like terms: 234.72 + -635.7 = -400.98
-733.5x = -400.98

Divide each side by '-733.5'.
x = 0.5466666667

Simplifying
x = 0.5466666667

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