Solve 1/2x+1=7/3

$$\frac{ 1 }{ 2 } x+1= \frac{ 7 }{ 3 }$$

Solve for x

$$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

Subtract 1 from both sides.

$$\frac{1}{2}x=\frac{7}{3}-1$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{1}{2}x=\frac{7}{3}-\frac{3}{3}$$

Since \frac{7}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}x=\frac{7-3}{3}$$

Subtract 3 from 7 to get 4.

$$\frac{1}{2}x=\frac{4}{3}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=\frac{4}{3}\times 2$$

Express \frac{4}{3}\times 2 as a single fraction.

$$x=\frac{4\times 2}{3}$$

Multiply 4 and 2 to get 8.

$$x=\frac{8}{3}$$