Solve 4(a+5)=13+2(a+5)+12

$$4 ( a + 5 ) = 13 + 2 ( a + 5 ) + 12$$

Solve for a

$$a = \frac{15}{2} = 7\frac{1}{2} = 7.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by a+5.

$$4a+20=13+2\left(a+5\right)+12$$

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

$$4a+20=13+2a+10+12$$

Add 13 and 10 to get 23.

$$4a+20=23+2a+12$$

Add 23 and 12 to get 35.

$$4a+20=35+2a$$

Subtract 2a from both sides.

$$4a+20-2a=35$$

Combine 4a and -2a to get 2a.

$$2a+20=35$$

Subtract 20 from both sides.

$$2a=35-20$$

Subtract 20 from 35 to get 15.

$$2a=15$$

Divide both sides by 2.

$$a=\frac{15}{2}$$