Solve (1-4/7-1/7)x=12

$$( 1 - \frac { 4 } { 7 } - \frac { 1 } { 7 } ) x = 12$$

Solve for x

$$x=42$$

Steps for Solving Linear Equation

Convert 1 to fraction \frac{7}{7}.

$$\left(\frac{7}{7}-\frac{4}{7}-\frac{1}{7}\right)x=12$$

Since \frac{7}{7} and \frac{4}{7} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{7-4}{7}-\frac{1}{7}\right)x=12$$

Subtract 4 from 7 to get 3.

$$\left(\frac{3}{7}-\frac{1}{7}\right)x=12$$

Since \frac{3}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-1}{7}x=12$$

Subtract 1 from 3 to get 2.

$$\frac{2}{7}x=12$$

Multiply both sides by \frac{7}{2}, the reciprocal of \frac{2}{7}.

$$x=12\times \frac{7}{2}$$

Express 12\times \frac{7}{2} as a single fraction.

$$x=\frac{12\times 7}{2}$$

Multiply 12 and 7 to get 84.

$$x=\frac{84}{2}$$

Divide 84 by 2 to get 42.

$$x=42$$