Solve (9-x):x=10:5

$$( 9 - x ) : x = 10 : 5$$

Solve for x

$$x=3$$

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 5x, the least common multiple of x,5.

$$5\left(9-x\right)=x\times 10$$

Use the distributive property to multiply 5 by 9-x.

$$45-5x=x\times 10$$

Subtract x\times 10 from both sides.

$$45-5x-x\times 10=0$$

Combine -5x and -x\times 10 to get -15x.

$$45-15x=0$$

Subtract 45 from both sides. Anything subtracted from zero gives its negation.

$$-15x=-45$$

Divide both sides by -15.

$$x=\frac{-45}{-15}$$

Divide -45 by -15 to get 3.

$$x=3$$