Solve 9-left(3/2+1right)9+12*3/2+x=1/2

$$9- \left( \frac{ 3 }{ 2 } +1 \right) 9+12 \times \frac{ 3 }{ 2 } +x = \frac{ 1 }{ 2 }$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

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

$$9-\left(\frac{3}{2}+\frac{2}{2}\right)\times 9+12\times \frac{3}{2}+x=\frac{1}{2}$$

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

$$9-\frac{3+2}{2}\times 9+12\times \frac{3}{2}+x=\frac{1}{2}$$

Add 3 and 2 to get 5.

$$9-\frac{5}{2}\times 9+12\times \frac{3}{2}+x=\frac{1}{2}$$

Express \frac{5}{2}\times 9 as a single fraction.

$$9-\frac{5\times 9}{2}+12\times \frac{3}{2}+x=\frac{1}{2}$$

Multiply 5 and 9 to get 45.

$$9-\frac{45}{2}+12\times \frac{3}{2}+x=\frac{1}{2}$$

Convert 9 to fraction \frac{18}{2}.

$$\frac{18}{2}-\frac{45}{2}+12\times \frac{3}{2}+x=\frac{1}{2}$$

Since \frac{18}{2} and \frac{45}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-45}{2}+12\times \frac{3}{2}+x=\frac{1}{2}$$

Subtract 45 from 18 to get -27.

$$-\frac{27}{2}+12\times \frac{3}{2}+x=\frac{1}{2}$$

Express 12\times \frac{3}{2} as a single fraction.

$$-\frac{27}{2}+\frac{12\times 3}{2}+x=\frac{1}{2}$$

Multiply 12 and 3 to get 36.

$$-\frac{27}{2}+\frac{36}{2}+x=\frac{1}{2}$$

Divide 36 by 2 to get 18.

$$-\frac{27}{2}+18+x=\frac{1}{2}$$

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

$$-\frac{27}{2}+\frac{36}{2}+x=\frac{1}{2}$$

Since -\frac{27}{2} and \frac{36}{2} have the same denominator, add them by adding their numerators.

$$\frac{-27+36}{2}+x=\frac{1}{2}$$

Add -27 and 36 to get 9.

$$\frac{9}{2}+x=\frac{1}{2}$$

Subtract \frac{9}{2} from both sides.

$$x=\frac{1}{2}-\frac{9}{2}$$

Since \frac{1}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{1-9}{2}$$

Subtract 9 from 1 to get -8.

$$x=\frac{-8}{2}$$

Divide -8 by 2 to get -4.

$$x=-4$$