Solve 2a-(8a+1)-left(a+2right)5=9

$$2a-(8a+1)- \left( a+2 \right) 5 = 9$$

Solve for a

$$a = -\frac{20}{11} = -1\frac{9}{11} \approx -1.818181818$$

Steps for Solving Linear Equation

To find the opposite of 8a+1, find the opposite of each term.

$$2a-8a-1-\left(a+2\right)\times 5=9$$

Combine 2a and -8a to get -6a.

$$-6a-1-\left(a+2\right)\times 5=9$$

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

$$-6a-1-\left(5a+10\right)=9$$

To find the opposite of 5a+10, find the opposite of each term.

$$-6a-1-5a-10=9$$

Combine -6a and -5a to get -11a.

$$-11a-1-10=9$$

Subtract 10 from -1 to get -11.

$$-11a-11=9$$

Add 11 to both sides.

$$-11a=9+11$$

Add 9 and 11 to get 20.

$$-11a=20$$

Divide both sides by -11.

$$a=\frac{20}{-11}$$

Fraction \frac{20}{-11} can be rewritten as -\frac{20}{11} by extracting the negative sign.

$$a=-\frac{20}{11}$$