Solve 3(x-2)=3/2quad

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

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Divide both sides by 3.

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

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

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

Cancel out 3 in both numerator and denominator.

$$x-2=\frac{1}{2}$$

Add 2 to both sides.

$$x=\frac{1}{2}+2$$

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

$$x=\frac{1}{2}+\frac{4}{2}$$

Since \frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$x=\frac{1+4}{2}$$

Add 1 and 4 to get 5.

$$x=\frac{5}{2}$$