Solve 2/3*2+3=2x

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

Solve for x

$$x = \frac{13}{6} = 2\frac{1}{6} \approx 2.166666667$$

Steps for Solving Linear Equation

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

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

Multiply 2 and 2 to get 4.

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

Convert 3 to fraction \frac{9}{3}.

$$\frac{4}{3}+\frac{9}{3}=2x$$

Since \frac{4}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$\frac{4+9}{3}=2x$$

Add 4 and 9 to get 13.

$$\frac{13}{3}=2x$$

Swap sides so that all variable terms are on the left hand side.

$$2x=\frac{13}{3}$$

Divide both sides by 2.

$$x=\frac{\frac{13}{3}}{2}$$

Express \frac{\frac{13}{3}}{2} as a single fraction.

$$x=\frac{13}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$x=\frac{13}{6}$$