Solve x+6+5-4x=46-7x+2-A

$$x + 6 + 5 - 4 x = 46 - 7 x + 2 - A$$

Solve for A

$$A=37-4x$$

Steps for Solving Linear Equation

Add 6 and 5 to get 11.

$$x+11-4x=46-7x+2-A$$

Combine x and -4x to get -3x.

$$-3x+11=46-7x+2-A$$

Add 46 and 2 to get 48.

$$-3x+11=48-7x-A$$

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

$$48-7x-A=-3x+11$$

Subtract 48 from both sides.

$$-7x-A=-3x+11-48$$

Subtract 48 from 11 to get -37.

$$-7x-A=-3x-37$$

Add 7x to both sides.

$$-A=-3x-37+7x$$

Combine -3x and 7x to get 4x.

$$-A=4x-37$$

Divide both sides by -1.

$$\frac{-A}{-1}=\frac{4x-37}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$A=\frac{4x-37}{-1}$$

Divide 4x-37 by -1.

$$A=37-4x$$

Solve for x

$$x=\frac{37-A}{4}$$

Steps for Solving Linear Equation

Add 6 and 5 to get 11.

$$x+11-4x=46-7x+2-A$$

Combine x and -4x to get -3x.

$$-3x+11=46-7x+2-A$$

Add 46 and 2 to get 48.

$$-3x+11=48-7x-A$$

Add 7x to both sides.

$$-3x+11+7x=48-A$$

Combine -3x and 7x to get 4x.

$$4x+11=48-A$$

Subtract 11 from both sides.

$$4x=48-A-11$$

Subtract 11 from 48 to get 37.

$$4x=37-A$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{37-A}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{37-A}{4}$$