Solve 3x=3/3(3+11/2)

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

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$18x=6\left(3+\frac{1\times 2+1}{2}\right)$$

Multiply 1 and 2 to get 2.

$$18x=6\left(3+\frac{2+1}{2}\right)$$

Add 2 and 1 to get 3.

$$18x=6\left(3+\frac{3}{2}\right)$$

Convert 3 to fraction \frac{6}{2}.

$$18x=6\left(\frac{6}{2}+\frac{3}{2}\right)$$

Since \frac{6}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$18x=6\times \frac{6+3}{2}$$

Add 6 and 3 to get 9.

$$18x=6\times \frac{9}{2}$$

Express 6\times \frac{9}{2} as a single fraction.

$$18x=\frac{6\times 9}{2}$$

Multiply 6 and 9 to get 54.

$$18x=\frac{54}{2}$$

Divide 54 by 2 to get 27.

$$18x=27$$

Divide both sides by 18.

$$x=\frac{27}{18}$$

Reduce the fraction \frac{27}{18} to lowest terms by extracting and canceling out 9.

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