Solve a+2/7=a-3/2

$$\frac { a + 2 } { 7 } = \frac { a - 3 } { 2 }$$

Solve for a

$$a=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 7,2.

$$2\left(a+2\right)=7\left(a-3\right)$$

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

$$2a+4=7\left(a-3\right)$$

Use the distributive property to multiply 7 by a-3.

$$2a+4=7a-21$$

Subtract 7a from both sides.

$$2a+4-7a=-21$$

Combine 2a and -7a to get -5a.

$$-5a+4=-21$$

Subtract 4 from both sides.

$$-5a=-21-4$$

Subtract 4 from -21 to get -25.

$$-5a=-25$$

Divide both sides by -5.

$$a=\frac{-25}{-5}$$

Divide -25 by -5 to get 5.

$$a=5$$