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2x+76=160\left(-x+19\right)
Variable x cannot be equal to 19 since division by zero is not defined. Multiply both sides of the equation by 5\left(-x+19\right).
2x+76=-160x+3040
Use the distributive property to multiply 160 by -x+19.
2x+76+160x=3040
Add 160x to both sides.
162x+76=3040
Combine 2x and 160x to get 162x.
162x=3040-76
Subtract 76 from both sides.
162x=2964
Subtract 76 from 3040 to get 2964.
x=\frac{2964}{162}
Divide both sides by 162.
x=\frac{494}{27}
Reduce the fraction \frac{2964}{162} to lowest terms by extracting and canceling out 6.