Solve 52=45+28/33+f*10

$$52 = 45 + \frac { 28 } { 33 + f } \times 10$$

Solve for f

$$f=7$$

Steps for Solving Linear Equation

Variable f cannot be equal to -33 since division by zero is not defined. Multiply both sides of the equation by f+33.

$$52\left(f+33\right)=\left(f+33\right)\times 45+28\times 10$$

Use the distributive property to multiply 52 by f+33.

$$52f+1716=\left(f+33\right)\times 45+28\times 10$$

Use the distributive property to multiply f+33 by 45.

$$52f+1716=45f+1485+28\times 10$$

Multiply 28 and 10 to get 280.

$$52f+1716=45f+1485+280$$

Add 1485 and 280 to get 1765.

$$52f+1716=45f+1765$$

Subtract 45f from both sides.

$$52f+1716-45f=1765$$

Combine 52f and -45f to get 7f.

$$7f+1716=1765$$

Subtract 1716 from both sides.

$$7f=1765-1716$$

Subtract 1716 from 1765 to get 49.

$$7f=49$$

Divide both sides by 7.

$$f=\frac{49}{7}$$

Divide 49 by 7 to get 7.

$$f=7$$