Solve 3(a+3)+3(a-1)=5(a+5)

$$3 ( a + 3 ) + 3 ( a - 1 ) = 5 ( a + 5 )$$

Solve for a

$$a=19$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by a+3.

$$3a+9+3\left(a-1\right)=5\left(a+5\right)$$

Use the distributive property to multiply 3 by a-1.

$$3a+9+3a-3=5\left(a+5\right)$$

Combine 3a and 3a to get 6a.

$$6a+9-3=5\left(a+5\right)$$

Subtract 3 from 9 to get 6.

$$6a+6=5\left(a+5\right)$$

Use the distributive property to multiply 5 by a+5.

$$6a+6=5a+25$$

Subtract 5a from both sides.

$$6a+6-5a=25$$

Combine 6a and -5a to get a.

$$a+6=25$$

Subtract 6 from both sides.

$$a=25-6$$

Subtract 6 from 25 to get 19.

$$a=19$$