Solve 70/x=300/x+40

$$\frac { 70 } { x } = \frac { 300 } { x + 40 }$$

Solve for x

$$x = \frac{280}{23} = 12\frac{4}{23} \approx 12.173913043$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -40,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+40\right), the least common multiple of x,x+40.

$$\left(x+40\right)\times 70=x\times 300$$

Use the distributive property to multiply x+40 by 70.

$$70x+2800=x\times 300$$

Subtract x\times 300 from both sides.

$$70x+2800-x\times 300=0$$

Combine 70x and -x\times 300 to get -230x.

$$-230x+2800=0$$

Subtract 2800 from both sides. Anything subtracted from zero gives its negation.

$$-230x=-2800$$

Divide both sides by -230.

$$x=\frac{-2800}{-230}$$

Reduce the fraction \frac{-2800}{-230} to lowest terms by extracting and canceling out -10.

$$x=\frac{280}{23}$$