Solve (2/9x-7)div1/6-x=126

$$( \frac { 2 } { 9 } x - 7 ) \div \frac { 1 } { 6 } - x = 126$$

Solve for x

$$x=504$$

Steps for Solving Linear Equation

Divide each term of \frac{2}{9}x-7 by \frac{1}{6} to get \frac{\frac{2}{9}x}{\frac{1}{6}}+\frac{-7}{\frac{1}{6}}.

$$\frac{\frac{2}{9}x}{\frac{1}{6}}+\frac{-7}{\frac{1}{6}}-x=126$$

Divide \frac{2}{9}x by \frac{1}{6} to get \frac{4}{3}x.

$$\frac{4}{3}x+\frac{-7}{\frac{1}{6}}-x=126$$

Divide -7 by \frac{1}{6} by multiplying -7 by the reciprocal of \frac{1}{6}.

$$\frac{4}{3}x-7\times 6-x=126$$

Multiply -7 and 6 to get -42.

$$\frac{4}{3}x-42-x=126$$

Combine \frac{4}{3}x and -x to get \frac{1}{3}x.

$$\frac{1}{3}x-42=126$$

Add 42 to both sides.

$$\frac{1}{3}x=126+42$$

Add 126 and 42 to get 168.

$$\frac{1}{3}x=168$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x=168\times 3$$

Multiply 168 and 3 to get 504.

$$x=504$$