Solve (1-p)x+5=2x

$$( 1 - p ) x + 5 = 2 x$$

Solve for p

$$p=-1+\frac{5}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$x-px+5=2x$$

Subtract x from both sides.

$$-px+5=2x-x$$

Combine 2x and -x to get x.

$$-px+5=x$$

Subtract 5 from both sides.

$$-px=x-5$$

The equation is in standard form.

$$\left(-x\right)p=x-5$$

Divide both sides by -x.

$$\frac{\left(-x\right)p}{-x}=\frac{x-5}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$p=\frac{x-5}{-x}$$

Divide x-5 by -x.

$$p=-1+\frac{5}{x}$$

Solve for x

$$x=\frac{5}{p+1}$$

$$p\neq -1$$

Steps for Solving Linear Equation

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

$$x-px+5=2x$$

Subtract 2x from both sides.

$$x-px+5-2x=0$$

Combine x and -2x to get -x.

$$-x-px+5=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$-x-px=-5$$

Combine all terms containing x.

$$\left(-1-p\right)x=-5$$

The equation is in standard form.

$$\left(-p-1\right)x=-5$$

Divide both sides by -1-p.

$$\frac{\left(-p-1\right)x}{-p-1}=-\frac{5}{-p-1}$$

Dividing by -1-p undoes the multiplication by -1-p.

$$x=-\frac{5}{-p-1}$$

Divide -5 by -1-p.

$$x=\frac{5}{p+1}$$