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2 votes
What is the value of x in the equation below?

-2/3 (3/8x + 9)= 3/5(5/12x+10)
A -1
B 0
C 5-
D 3

User Evan Aad
by
8.0k points

2 Answers

4 votes


\sf - (2)/(3) ( (3)/(8) x + 9) = (3)/(5) ( (5)/(12) x + 10)

  • Multiply both sides of the equation by 15.


\sf \: - 10( (3)/(8) x + 9) = 9( (5)/(12) x + 10)

  • Distribute -10 through the parentheses.


\sf \: - (15)/(4) x - 90 = 9( (5)/(12) x + 10)

  • Distribute 9 through the parentheses.


\sf \: - (15)/(4) x - 90 = (15)/(4) x + 90

  • Multiply both sides of the equation by 4.


\sf \: - 15x - 360 = 15x + 360

  • Move the variable to the left-hand side and change its sign.


\sf \: - 15x - 360 - 15x = 360

  • Move the constant to the right-hand side and change its sign.


\sf \: - 15x - 15x = 360 + 360

  • Collect like terms.


\sf \: - 30x = 720

  • Divide both sides of the equation by-30.


\boxed{ \tt \: x = - 24}

User Allloush
by
7.7k points
2 votes

Answer:

x = - 24

Explanation:

-
(2)/(3) (
(3)/(8) x + 9) =
(3)/(5) (
(5)/(12) x + 10) ← distribute parenthesis on both sides

-
(1)/(4) x - 6 =
(1)/(4) x + 6 ( multiply through by 4 to clear the fractions )

- x - 24 = x + 24 ( subtract x from both sides )

- 2x - 24 = 24 ( add 24 to both sides )

- 2x = 48 ( divide both sides by - 2 )

x = - 24

User Unknow
by
8.8k points

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