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MrRissso [65]
3 years ago
11

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

Mathematics
1 answer:
Elena L [17]3 years ago
3 0

Answer:

x = 26

Step-by-step explanation:

Given

\frac{1}{3} (x - 2) = \frac{1}{5} (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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