507.16=-10.3(5.4x-7)-9.9

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Solution for 507.16=-10.3(5.4x-7)-9.9 equation: 


Simplifying
507.16 = -10.3(5.4x + -7) + -9.9

Reorder the terms:
507.16 = -10.3(-7 + 5.4x) + -9.9
507.16 = (-7 * -10.3 + 5.4x * -10.3) + -9.9
507.16 = (72.1 + -55.62x) + -9.9

Reorder the terms:
507.16 = 72.1 + -9.9 + -55.62x

Combine like terms: 72.1 + -9.9 = 62.2
507.16 = 62.2 + -55.62x

Solving
507.16 = 62.2 + -55.62x

Solving for variable 'x'.

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

Add '55.62x' to each side of the equation.
507.16 + 55.62x = 62.2 + -55.62x + 55.62x

Combine like terms: -55.62x + 55.62x = 0.00
507.16 + 55.62x = 62.2 + 0.00
507.16 + 55.62x = 62.2

Add '-507.16' to each side of the equation.
507.16 + -507.16 + 55.62x = 62.2 + -507.16

Combine like terms: 507.16 + -507.16 = 0.00
0.00 + 55.62x = 62.2 + -507.16
55.62x = 62.2 + -507.16

Combine like terms: 62.2 + -507.16 = -444.96
55.62x = -444.96

Divide each side by '55.62'.
x = -8

Simplifying
x = -8

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