Solve 350+x=8/9*(x+480)

$$350 + x = \frac { 8 } { 9 } \times ( x + 480 )$$

Solve for x

$$x=690$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{8}{9} by x+480.

$$350+x=\frac{8}{9}x+\frac{8}{9}\times 480$$

Express \frac{8}{9}\times 480 as a single fraction.

$$350+x=\frac{8}{9}x+\frac{8\times 480}{9}$$

Multiply 8 and 480 to get 3840.

$$350+x=\frac{8}{9}x+\frac{3840}{9}$$

Reduce the fraction \frac{3840}{9} to lowest terms by extracting and canceling out 3.

$$350+x=\frac{8}{9}x+\frac{1280}{3}$$

Subtract \frac{8}{9}x from both sides.

$$350+x-\frac{8}{9}x=\frac{1280}{3}$$

Combine x and -\frac{8}{9}x to get \frac{1}{9}x.

$$350+\frac{1}{9}x=\frac{1280}{3}$$

Subtract 350 from both sides.

$$\frac{1}{9}x=\frac{1280}{3}-350$$

Convert 350 to fraction \frac{1050}{3}.

$$\frac{1}{9}x=\frac{1280}{3}-\frac{1050}{3}$$

Since \frac{1280}{3} and \frac{1050}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{9}x=\frac{1280-1050}{3}$$

Subtract 1050 from 1280 to get 230.

$$\frac{1}{9}x=\frac{230}{3}$$

Multiply both sides by 9, the reciprocal of \frac{1}{9}.

$$x=\frac{230}{3}\times 9$$

Express \frac{230}{3}\times 9 as a single fraction.

$$x=\frac{230\times 9}{3}$$

Multiply 230 and 9 to get 2070.

$$x=\frac{2070}{3}$$

Divide 2070 by 3 to get 690.

$$x=690$$