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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Combine 3x and -2x to get x.

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

Combine 7x and 5x to get 12x.

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

Combine 12x and -x to get 11x.

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

Add -3 and 24 to get 21.

$$x+1=11x+21$$

Subtract 11x from both sides.

$$x+1-11x=21$$

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

$$-10x+1=21$$

Subtract 1 from both sides.

$$-10x=21-1$$

Subtract 1 from 21 to get 20.

$$-10x=20$$

Divide both sides by -10.

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

Divide 20 by -10 to get -2.

$$x=-2$$