Solve x+2/5+x+3/2=4

$$\frac { x + 2 } { 5 } + \frac { x + 3 } { 2 } = 4$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2.

$$2\left(x+2\right)+5\left(x+3\right)=40$$

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

$$2x+4+5\left(x+3\right)=40$$

Use the distributive property to multiply 5 by x+3.

$$2x+4+5x+15=40$$

Combine 2x and 5x to get 7x.

$$7x+4+15=40$$

Add 4 and 15 to get 19.

$$7x+19=40$$

Subtract 19 from both sides.

$$7x=40-19$$

Subtract 19 from 40 to get 21.

$$7x=21$$

Divide both sides by 7.

$$x=\frac{21}{7}$$

Divide 21 by 7 to get 3.

$$x=3$$