Solve 6/7x-4=10

$$\frac { 6 } { 7 } x - 4 = 10$$

Solve for x

$$x = \frac{49}{3} = 16\frac{1}{3} \approx 16.333333333$$

Steps for Solving Linear Equation

Add 4 to both sides.

$$\frac{6}{7}x=10+4$$

Add 10 and 4 to get 14.

$$\frac{6}{7}x=14$$

Multiply both sides by \frac{7}{6}, the reciprocal of \frac{6}{7}.

$$x=14\times \frac{7}{6}$$

Express 14\times \frac{7}{6} as a single fraction.

$$x=\frac{14\times 7}{6}$$

Multiply 14 and 7 to get 98.

$$x=\frac{98}{6}$$

Reduce the fraction \frac{98}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{49}{3}$$