Solve 5/2=1/3(x-2)

$$\frac { 5 } { 2 } = \frac { 1 } { 3 } ( x - 2 )$$

Solve for x

$$x = \frac{19}{2} = 9\frac{1}{2} = 9.5$$

Steps for Solving Linear Equation

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$\frac{5}{2}\times 3=x-2$$

Express \frac{5}{2}\times 3 as a single fraction.

$$\frac{5\times 3}{2}=x-2$$

Multiply 5 and 3 to get 15.

$$\frac{15}{2}=x-2$$

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

$$x-2=\frac{15}{2}$$

Add 2 to both sides.

$$x=\frac{15}{2}+2$$

Convert 2 to fraction \frac{4}{2}.

$$x=\frac{15}{2}+\frac{4}{2}$$

Since \frac{15}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$x=\frac{15+4}{2}$$

Add 15 and 4 to get 19.

$$x=\frac{19}{2}$$