How do you solve 5/2+1/4x=3-3/8x?

1 Answer
Jul 9, 2018

x = 4/5

Explanation:

As explained below:

Step 1: Shift all variables in one side:

5/2+(1/4)x = 3-(3/8)x

(1/4)x + (3/8)x = 3 - 5/2

Step 2: Simplify both sides:

(2x + 3x)/8 = ((2 xx 3) - 5)/2

(5/8)x = (6-5)/2

(5/8)x = 1/2

x = 1/2 xx 8/5

x = 4/5

Check the Answer:

5/2 + (1/4xx 4/5) = 3 - (3/8 xx 4/5)

5/2 + 1/5 = 3 - 3/10

(25 + 2)/10 = (30 - 3)/10

27/10 = 27/10 ----> Right!