Solve 2/3divx=1/2+1/3

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

Solve for x

$$x=\frac{4}{5}=0.8$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of x,2,3.

$$6\times \frac{2}{3}=6x\times \frac{1}{2}+6x\times \frac{1}{3}$$

Express 6\times \frac{2}{3} as a single fraction.

$$\frac{6\times 2}{3}=6x\times \frac{1}{2}+6x\times \frac{1}{3}$$

Multiply 6 and 2 to get 12.

$$\frac{12}{3}=6x\times \frac{1}{2}+6x\times \frac{1}{3}$$

Divide 12 by 3 to get 4.

$$4=6x\times \frac{1}{2}+6x\times \frac{1}{3}$$

Multiply 6 and \frac{1}{2} to get \frac{6}{2}.

$$4=\frac{6}{2}x+6x\times \frac{1}{3}$$

Divide 6 by 2 to get 3.

$$4=3x+6x\times \frac{1}{3}$$

Multiply 6 and \frac{1}{3} to get \frac{6}{3}.

$$4=3x+\frac{6}{3}x$$

Divide 6 by 3 to get 2.

$$4=3x+2x$$

Combine 3x and 2x to get 5x.

$$4=5x$$

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

$$5x=4$$

Divide both sides by 5.

$$x=\frac{4}{5}$$