How do you solve \frac { x - 8} { x } = \frac { 2} { 5}?

3 Answers
May 24, 2018

Multiply both sides by x xx 5 to remove the denominators. and then solve for x

Explanation:

x xx 5 xx ( x-8) /x = x xx 5 xx (2)/ 5 This results in

5 ( x -8) = x xx2 multiplying across the parenthesis

5x - 40 = 2x

Move the x's to left side of the equation and the -40 to the left side of the equation.

5x -2x - 40 + 40 = 2x -2x +40 which gives

3x = +40 Divide both sides by 3

3x/3 = 40/3 Which gives

x = 13 1/3

May 24, 2018

x = 40/3

Explanation:

Cross multiply the two fractions, and go from there.

5(x-8) = 2x

5x - 40 = 2x

Isolate the x by putting like terms on the same side.

3x - 40 = 0

3x = 40

x = 40/3

May 24, 2018

x=40/3

Explanation:

Solve:

(x-8)/color(red)x=2/color(blue)5

Cross multiply the denominators.

color(blue)5(x-8)=2xxcolor(red)x

Simplify 2xxcolor(red)x to 2x.

5(x-8)=2x

Expand the left-hand side.

5x-40=2x

Add 40 to both sides.

5x=2x+40

Subtract 2)x from both sides.

5x-2x=40

Simplify.

3x=40

Divide both sides by 3.

x=40/3