Solve x+9*1/3=1/2+1

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

Solve for x

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

Steps for Solving Linear Equation

Multiply 9 and \frac{1}{3} to get \frac{9}{3}.

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

Divide 9 by 3 to get 3.

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

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

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

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

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

Add 1 and 2 to get 3.

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

Subtract 3 from both sides.

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

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

$$x=\frac{3}{2}-\frac{6}{2}$$

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

$$x=\frac{3-6}{2}$$

Subtract 6 from 3 to get -3.

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