Solve 7=3/2(x-6)

$$7 = \frac { 3 } { 2 } ( x - 6 )$$

Solve for x

$$x = \frac{32}{3} = 10\frac{2}{3} \approx 10.666666667$$

Steps for Solving Linear Equation

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$7\times \frac{2}{3}=x-6$$

Express 7\times \frac{2}{3} as a single fraction.

$$\frac{7\times 2}{3}=x-6$$

Multiply 7 and 2 to get 14.

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

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

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

Add 6 to both sides.

$$x=\frac{14}{3}+6$$

Convert 6 to fraction \frac{18}{3}.

$$x=\frac{14}{3}+\frac{18}{3}$$

Since \frac{14}{3} and \frac{18}{3} have the same denominator, add them by adding their numerators.

$$x=\frac{14+18}{3}$$

Add 14 and 18 to get 32.

$$x=\frac{32}{3}$$