Solve 8a-(a-5)-(a+3)=a-8

$$8 a - ( a - 5 ) - ( a + 3 ) = a - 8$$

Solve for a

$$a=-2$$

Steps for Solving Linear Equation

To find the opposite of a-5, find the opposite of each term.

$$8a-a-\left(-5\right)-\left(a+3\right)=a-8$$

The opposite of -5 is 5.

$$8a-a+5-\left(a+3\right)=a-8$$

Combine 8a and -a to get 7a.

$$7a+5-\left(a+3\right)=a-8$$

To find the opposite of a+3, find the opposite of each term.

$$7a+5-a-3=a-8$$

Combine 7a and -a to get 6a.

$$6a+5-3=a-8$$

Subtract 3 from 5 to get 2.

$$6a+2=a-8$$

Subtract a from both sides.

$$6a+2-a=-8$$

Combine 6a and -a to get 5a.

$$5a+2=-8$$

Subtract 2 from both sides.

$$5a=-8-2$$

Subtract 2 from -8 to get -10.

$$5a=-10$$

Divide both sides by 5.

$$a=\frac{-10}{5}$$

Divide -10 by 5 to get -2.

$$a=-2$$