Solve for x
x=2
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7=5\times 7+5\left(x+5\right)\left(-\frac{4}{5}\right)
Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+5\right), the least common multiple of 5x+25,x+5,5.
7=35+5\left(x+5\right)\left(-\frac{4}{5}\right)
Multiply 5 and 7 to get 35.
7=35-4\left(x+5\right)
Multiply 5 and -\frac{4}{5} to get -4.
7=35-4x-20
Use the distributive property to multiply -4 by x+5.
7=15-4x
Subtract 20 from 35 to get 15.
15-4x=7
Swap sides so that all variable terms are on the left hand side.
-4x=7-15
Subtract 15 from both sides.
-4x=-8
Subtract 15 from 7 to get -8.
x=\frac{-8}{-4}
Divide both sides by -4.
x=2
Divide -8 by -4 to get 2.
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