Solve 3w-2w+1=7w-3+5w-w+24

$$3 w - 2 w + 1 = 7 w - 3 + 5 w - w + 24$$

Solve for w

$$w=-2$$

Steps for Solving Linear Equation

Combine 3w and -2w to get w.

$$w+1=7w-3+5w-w+24$$

Combine 7w and 5w to get 12w.

$$w+1=12w-3-w+24$$

Combine 12w and -w to get 11w.

$$w+1=11w-3+24$$

Add -3 and 24 to get 21.

$$w+1=11w+21$$

Subtract 11w from both sides.

$$w+1-11w=21$$

Combine w and -11w to get -10w.

$$-10w+1=21$$

Subtract 1 from both sides.

$$-10w=21-1$$

Subtract 1 from 21 to get 20.

$$-10w=20$$

Divide both sides by -10.

$$w=\frac{20}{-10}$$

Divide 20 by -10 to get -2.

$$w=-2$$