Solve +7/15=6v+2/10

$$\frac { + 7 } { 15 } = \frac { 6 v + 2 } { 10 }$$

Solve for v

$$v=\frac{4}{9}\approx 0.444444444$$

Steps for Solving Linear Equation

Multiply both sides by 10.

$$\frac{7}{15}\times 10=6v+2$$

Express \frac{7}{15}\times 10 as a single fraction.

$$\frac{7\times 10}{15}=6v+2$$

Multiply 7 and 10 to get 70.

$$\frac{70}{15}=6v+2$$

Reduce the fraction \frac{70}{15} to lowest terms by extracting and canceling out 5.

$$\frac{14}{3}=6v+2$$

Swap sides so that all variable terms are on the left hand side.

$$6v+2=\frac{14}{3}$$

Subtract 2 from both sides.

$$6v=\frac{14}{3}-2$$

Convert 2 to fraction \frac{6}{3}.

$$6v=\frac{14}{3}-\frac{6}{3}$$

Since \frac{14}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$6v=\frac{14-6}{3}$$

Subtract 6 from 14 to get 8.

$$6v=\frac{8}{3}$$

Divide both sides by 6.

$$v=\frac{\frac{8}{3}}{6}$$

Express \frac{\frac{8}{3}}{6} as a single fraction.

$$v=\frac{8}{3\times 6}$$

Multiply 3 and 6 to get 18.

$$v=\frac{8}{18}$$

Reduce the fraction \frac{8}{18} to lowest terms by extracting and canceling out 2.

$$v=\frac{4}{9}$$