Solve 3(a-5)=2(6+a)

$$3(a-5)=2(6+a)$$

Solve for a

$$a=27$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by a-5.

$$3a-15=2\left(6+a\right)$$

Use the distributive property to multiply 2 by 6+a.

$$3a-15=12+2a$$

Subtract 2a from both sides.

$$3a-15-2a=12$$

Combine 3a and -2a to get a.

$$a-15=12$$

Add 15 to both sides.

$$a=12+15$$

Add 12 and 15 to get 27.

$$a=27$$