Solve 1/3x+1=1/2

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

Solve for x

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

Steps for Solving Linear Equation

Subtract 1 from both sides.

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

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

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

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

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

Subtract 2 from 1 to get -1.

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

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

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

Express -\frac{1}{2}\times 3 as a single fraction.

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

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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