Solve 5x+2/3+2x=3/2x+5

$$\frac{ 5x+2 }{ 3 } +2x= \frac{ 3 }{ 2 } x+5$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\left(5x+2\right)+12x=9x+30$$

Use the distributive property to multiply 2 by 5x+2.

$$10x+4+12x=9x+30$$

Combine 10x and 12x to get 22x.

$$22x+4=9x+30$$

Subtract 9x from both sides.

$$22x+4-9x=30$$

Combine 22x and -9x to get 13x.

$$13x+4=30$$

Subtract 4 from both sides.

$$13x=30-4$$

Subtract 4 from 30 to get 26.

$$13x=26$$

Divide both sides by 13.

$$x=\frac{26}{13}$$

Divide 26 by 13 to get 2.

$$x=2$$