Solve (6+x):x=120:72

$$( 6 + x ) : x = 120 : 72$$

Solve for x

$$x=9$$

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 72x, the least common multiple of x,72.

$$72\left(6+x\right)=x\times 120$$

Use the distributive property to multiply 72 by 6+x.

$$432+72x=x\times 120$$

Subtract x\times 120 from both sides.

$$432+72x-x\times 120=0$$

Combine 72x and -x\times 120 to get -48x.

$$432-48x=0$$

Subtract 432 from both sides. Anything subtracted from zero gives its negation.

$$-48x=-432$$

Divide both sides by -48.

$$x=\frac{-432}{-48}$$

Divide -432 by -48 to get 9.

$$x=9$$