Solve r-x=10(x-55)+50

$$r - x = 10 ( x - 55 ) + 50$$

Solve for r

$$r=11x-500$$

Solution Steps

Use the distributive property to multiply 10 by x-55.

$$r-x=10x-550+50$$

Add -550 and 50 to get -500.

$$r-x=10x-500$$

Add x to both sides.

$$r=10x-500+x$$

Combine 10x and x to get 11x.

$$r=11x-500$$

Solve for x

$$x=\frac{r+500}{11}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by x-55.

$$r-x=10x-550+50$$

Add -550 and 50 to get -500.

$$r-x=10x-500$$

Subtract 10x from both sides.

$$r-x-10x=-500$$

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

$$r-11x=-500$$

Subtract r from both sides.

$$-11x=-500-r$$

The equation is in standard form.

$$-11x=-r-500$$

Divide both sides by -11.

$$\frac{-11x}{-11}=\frac{-r-500}{-11}$$

Dividing by -11 undoes the multiplication by -11.

$$x=\frac{-r-500}{-11}$$

Divide -500-r by -11.

$$x=\frac{r+500}{11}$$