Solve 448/x=(24/3)^3

$$\frac { 448 } { x } = ( \frac { 24 } { 3 } ) ^ { 3 }$$

Solve for x

$$x=\frac{7}{8}=0.875$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$448=x\times \left(\frac{24}{3}\right)^{3}$$

Divide 24 by 3 to get 8.

$$448=x\times 8^{3}$$

Calculate 8 to the power of 3 and get 512.

$$448=x\times 512$$

Swap sides so that all variable terms are on the left hand side.

$$x\times 512=448$$

Divide both sides by 512.

$$x=\frac{448}{512}$$

Reduce the fraction \frac{448}{512} to lowest terms by extracting and canceling out 64.

$$x=\frac{7}{8}$$