Solve 80/45-x=64/37-x

$$\frac { 80 } { 45 - x } = \frac { 64 } { 37 - x }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 37,45 since division by zero is not defined. Multiply both sides of the equation by \left(x-45\right)\left(x-37\right), the least common multiple of 45-x,37-x.

$$\left(37-x\right)\times 80=\left(45-x\right)\times 64$$

Use the distributive property to multiply 37-x by 80.

$$2960-80x=\left(45-x\right)\times 64$$

Use the distributive property to multiply 45-x by 64.

$$2960-80x=2880-64x$$

Add 64x to both sides.

$$2960-80x+64x=2880$$

Combine -80x and 64x to get -16x.

$$2960-16x=2880$$

Subtract 2960 from both sides.

$$-16x=2880-2960$$

Subtract 2960 from 2880 to get -80.

$$-16x=-80$$

Divide both sides by -16.

$$x=\frac{-80}{-16}$$

Divide -80 by -16 to get 5.

$$x=5$$