Solve 12-x/12+45x-x/45=56+x

$$12 - \frac { x } { 12 } + 45 x - \frac { x } { 45 } = 56 + x$$

Solve for x

$$x = \frac{7920}{7901} = 1\frac{19}{7901} \approx 1.002404759$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 180, the least common multiple of 12,45.

$$2160-15x+8100x-4x=10080+180x$$

Combine -15x and 8100x to get 8085x.

$$2160+8085x-4x=10080+180x$$

Combine 8085x and -4x to get 8081x.

$$2160+8081x=10080+180x$$

Subtract 180x from both sides.

$$2160+8081x-180x=10080$$

Combine 8081x and -180x to get 7901x.

$$2160+7901x=10080$$

Subtract 2160 from both sides.

$$7901x=10080-2160$$

Subtract 2160 from 10080 to get 7920.

$$7901x=7920$$

Divide both sides by 7901.

$$x=\frac{7920}{7901}$$