Solve x=3+3/2(5)/1+frac{3{2}}

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

Solve for x

$$x = \frac{21}{5} = 4\frac{1}{5} = 4.2$$

Steps for Solving Linear Equation

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

$$x=\frac{3+\frac{3\times 5}{2}}{1+\frac{3}{2}}$$

Multiply 3 and 5 to get 15.

$$x=\frac{3+\frac{15}{2}}{1+\frac{3}{2}}$$

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

$$x=\frac{\frac{6}{2}+\frac{15}{2}}{1+\frac{3}{2}}$$

Since \frac{6}{2} and \frac{15}{2} have the same denominator, add them by adding their numerators.

$$x=\frac{\frac{6+15}{2}}{1+\frac{3}{2}}$$

Add 6 and 15 to get 21.

$$x=\frac{\frac{21}{2}}{1+\frac{3}{2}}$$

Convert 1 to fraction \frac{2}{2}.

$$x=\frac{\frac{21}{2}}{\frac{2}{2}+\frac{3}{2}}$$

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

$$x=\frac{\frac{21}{2}}{\frac{2+3}{2}}$$

Add 2 and 3 to get 5.

$$x=\frac{\frac{21}{2}}{\frac{5}{2}}$$

Divide \frac{21}{2} by \frac{5}{2} by multiplying \frac{21}{2} by the reciprocal of \frac{5}{2}.

$$x=\frac{21}{2}\times \frac{2}{5}$$

Multiply \frac{21}{2} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{21\times 2}{2\times 5}$$

Cancel out 2 in both numerator and denominator.

$$x=\frac{21}{5}$$

Assign x

$$x≔\frac{21}{5}$$