Solve -(4+2a)-3=-(2-5a)+(-a)+1

$$- ( 4 + 2 a ) - 3 = - ( 2 - 5 a ) + ( - a ) + 1$$

Solve for a

$$a=-1$$

Steps for Solving Linear Equation

To find the opposite of 4+2a, find the opposite of each term.

$$-4-2a-3=-\left(2-5a\right)-a+1$$

Subtract 3 from -4 to get -7.

$$-7-2a=-\left(2-5a\right)-a+1$$

To find the opposite of 2-5a, find the opposite of each term.

$$-7-2a=-2-\left(-5a\right)-a+1$$

The opposite of -5a is 5a.

$$-7-2a=-2+5a-a+1$$

Add -2 and 1 to get -1.

$$-7-2a=-1+5a-a$$

Subtract 5a from both sides.

$$-7-2a-5a=-1-a$$

Combine -2a and -5a to get -7a.

$$-7-7a=-1-a$$

Add a to both sides.

$$-7-7a+a=-1$$

Combine -7a and a to get -6a.

$$-7-6a=-1$$

Add 7 to both sides.

$$-6a=-1+7$$

Add -1 and 7 to get 6.

$$-6a=6$$

Divide both sides by -6.

$$a=\frac{6}{-6}$$

Divide 6 by -6 to get -1.

$$a=-1$$