Solve A=(4x-8)-(3x-7)+(-2x+3)

$$A = ( 4 x - 8 ) - ( 3 x - 7 ) + ( - 2 x + 3 )$$

Solve for A

$$A=2-x$$

Solution Steps

To find the opposite of 3x-7, find the opposite of each term.

$$A=4x-8-3x+7-2x+3$$

Combine 4x and -3x to get x.

$$A=x-8+7-2x+3$$

Add -8 and 7 to get -1.

$$A=x-1-2x+3$$

Combine x and -2x to get -x.

$$A=-x-1+3$$

Add -1 and 3 to get 2.

$$A=-x+2$$

Solve for x

$$x=2-A$$

Steps for Solving Linear Equation

To find the opposite of 3x-7, find the opposite of each term.

$$A=4x-8-3x+7-2x+3$$

Combine 4x and -3x to get x.

$$A=x-8+7-2x+3$$

Add -8 and 7 to get -1.

$$A=x-1-2x+3$$

Combine x and -2x to get -x.

$$A=-x-1+3$$

Add -1 and 3 to get 2.

$$A=-x+2$$

Swap sides so that all variable terms are on the left hand side.

$$-x+2=A$$

Subtract 2 from both sides.

$$-x=A-2$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{A-2}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{A-2}{-1}$$

Divide A-2 by -1.

$$x=2-A$$