Solve 2/3(c-18)=7

$$\frac { 2 } { 3 } ( c - 18 ) = 7$$

Solve for c

$$c = \frac{57}{2} = 28\frac{1}{2} = 28.5$$

Steps for Solving Linear Equation

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

$$c-18=7\times \frac{3}{2}$$

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

$$c-18=\frac{7\times 3}{2}$$

Multiply 7 and 3 to get 21.

$$c-18=\frac{21}{2}$$

Add 18 to both sides.

$$c=\frac{21}{2}+18$$

Convert 18 to fraction \frac{36}{2}.

$$c=\frac{21}{2}+\frac{36}{2}$$

Since \frac{21}{2} and \frac{36}{2} have the same denominator, add them by adding their numerators.

$$c=\frac{21+36}{2}$$

Add 21 and 36 to get 57.

$$c=\frac{57}{2}$$