Solve (p+2-1-p)+(p+1-b-2p)(x)=-52

$$( p + 2 - 1 - p ) + ( p + 1 - b - 2 p ) ( x ) = - 52$$

Solve for b

$$b=-p+1+\frac{53}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 1 from 2 to get 1.

$$p+1-p+\left(p+1-b-2p\right)x=-52$$

Combine p and -p to get 0.

$$1+\left(p+1-b-2p\right)x=-52$$

Combine p and -2p to get -p.

$$1+\left(-p+1-b\right)x=-52$$

Use the distributive property to multiply -p+1-b by x.

$$1-px+x-bx=-52$$

Subtract 1 from both sides.

$$-px+x-bx=-52-1$$

Subtract 1 from -52 to get -53.

$$-px+x-bx=-53$$

Add px to both sides.

$$x-bx=-53+px$$

Subtract x from both sides.

$$-bx=-53+px-x$$

The equation is in standard form.

$$\left(-x\right)b=px-x-53$$

Divide both sides by -x.

$$\frac{\left(-x\right)b}{-x}=\frac{px-x-53}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$b=\frac{px-x-53}{-x}$$

Divide -53+px-x by -x.

$$b=-p+1+\frac{53}{x}$$

Solve for p

$$p=-b+1+\frac{53}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 1 from 2 to get 1.

$$p+1-p+\left(p+1-b-2p\right)x=-52$$

Combine p and -p to get 0.

$$1+\left(p+1-b-2p\right)x=-52$$

Combine p and -2p to get -p.

$$1+\left(-p+1-b\right)x=-52$$

Use the distributive property to multiply -p+1-b by x.

$$1-px+x-bx=-52$$

Subtract 1 from both sides.

$$-px+x-bx=-52-1$$

Subtract 1 from -52 to get -53.

$$-px+x-bx=-53$$

Subtract x from both sides.

$$-px-bx=-53-x$$

Add bx to both sides.

$$-px=-53-x+bx$$

The equation is in standard form.

$$\left(-x\right)p=bx-x-53$$

Divide both sides by -x.

$$\frac{\left(-x\right)p}{-x}=\frac{bx-x-53}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$p=\frac{bx-x-53}{-x}$$

Divide -53-x+bx by -x.

$$p=-b+1+\frac{53}{x}$$