how do you solve 4(2/5x + 7) =-8 - 4/5x

Answer 1

here is one way to simplify the equation in order to solve for x:

4(2/5x + 7) =-8 - 4/5x

take the 4 in the left side of the equation and multiply it out

8/5x + 28 = -8 - 4/5x

multiply each side by 5 to simplify the equation (eliminate the 5 in the denominator)

8/x + 140 = -40 - 4/x

rearrange the equation so all 'x' variables are on one side

8/x + 4/x +140 = -40

subtract 140 from both sides of the equation

8/x + 4/x = -180

multiply both sides of the equation by 'x'

8 + 4 = -180x

simplify the left side of the equation

12 = -180x

divide both sides by -180

12/-180 = x

x = -1/15

Answer 2

Distribute into parenthesis first so that you get 8/5x + 28 = -8 - 4/5x

Then add 4/5x to both sides and subtract 28 from both sides so that you get 12/5x = -36

Now you can multiply both sides by 5/12 because multiplying a fraction by its reciprocal = 1

(5/12 times 12/5 = 1)