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Solve the equation. x+3/15 = x+6/20

Solve the equation. x+3/15 = x+6/20-example-1
User Hou Lu
by
8.3k points

1 Answer

1 vote

Answer:

x = 6

Explanation:

x+3/15 = x+6/20

Should be written as: (x+3)/15 = (x+6)/20

(x+3)/15 = (x+6)/20

(15)*(x+3)/15 = (15)*(x+6)/20 [Multiply both sides by 15]

(x+3) = (x+6)*(15/20) [Combine and cancel units]

(x+3) = (x+6)*(3/4) [simplify]

(4/3)*(x+3) = (x+6)*(3/4)*(4/3) [Multiply both sides by (4/3)]

(4/3)x + 4 = x + 6 [Expand]

(1/3)x = 2 [Combine like terms]

x = 6 [Multiply both sides by 3]

CHECK

Does (x+3)/15 = (x+6)/20 when x = 6?

(x+3)/15 = (6+3)/15 = (9/15) or (3/5)

(x+6)/20 = (6+6)/20 = (12/20), or (3/5) YES

x = 6

User Salman Arshad
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