Solve (c+10)30/40+c=16

$$\frac { ( c + 10 ) 30 } { 40 + c } = 16$$

Solve for c

$$c = \frac{170}{7} = 24\frac{2}{7} \approx 24.285714286$$

Steps for Solving Linear Equation

Variable c cannot be equal to -40 since division by zero is not defined. Multiply both sides of the equation by c+40.

$$\left(c+10\right)\times 30=16\left(c+40\right)$$

Use the distributive property to multiply c+10 by 30.

$$30c+300=16\left(c+40\right)$$

Use the distributive property to multiply 16 by c+40.

$$30c+300=16c+640$$

Subtract 16c from both sides.

$$30c+300-16c=640$$

Combine 30c and -16c to get 14c.

$$14c+300=640$$

Subtract 300 from both sides.

$$14c=640-300$$

Subtract 300 from 640 to get 340.

$$14c=340$$

Divide both sides by 14.

$$c=\frac{340}{14}$$

Reduce the fraction \frac{340}{14} to lowest terms by extracting and canceling out 2.

$$c=\frac{170}{7}$$