What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2? x = 12 x = 14 x = 16 x = 26
1 answer:
Answer:
x = 26
Step-by-step explanation:
Given
(x - 2) =
(x + 4) + 2
Multiply through by 15 to clear the fractions
5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides
5x - 10 = 3x + 12 + 30, that is
5x - 10 = 3x + 42 ( subtract 3x from both sides )
2x - 10 = 42 ( add 10 to both sides )
2x = 52 ( divide both sides by 2 )
x = 26
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