Solve 11=3/5(6x+10)

$$11 = \frac { 3 } { 5 } ( 6 x + 10 )$$

Solve for x

$$x = \frac{25}{18} = 1\frac{7}{18} \approx 1.388888889$$

Steps for Solving Linear Equation

Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.

$$11\times \frac{5}{3}=6x+10$$

Express 11\times \frac{5}{3} as a single fraction.

$$\frac{11\times 5}{3}=6x+10$$

Multiply 11 and 5 to get 55.

$$\frac{55}{3}=6x+10$$

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

$$6x+10=\frac{55}{3}$$

Subtract 10 from both sides.

$$6x=\frac{55}{3}-10$$

Convert 10 to fraction \frac{30}{3}.

$$6x=\frac{55}{3}-\frac{30}{3}$$

Since \frac{55}{3} and \frac{30}{3} have the same denominator, subtract them by subtracting their numerators.

$$6x=\frac{55-30}{3}$$

Subtract 30 from 55 to get 25.

$$6x=\frac{25}{3}$$

Divide both sides by 6.

$$x=\frac{\frac{25}{3}}{6}$$

Express \frac{\frac{25}{3}}{6} as a single fraction.

$$x=\frac{25}{3\times 6}$$

Multiply 3 and 6 to get 18.

$$x=\frac{25}{18}$$