Question

What value of x is the solution to the equation −3/2x−3/4=−1/5 ?

A
−19/30

B
33/40

C
−19/20

D
−11/30

Answer 1

`\Longrightarrow: \boxed{\sf{x=-(11)/(30) }}`

Explanation:

Isolate the term of x from one side of the equation.

-3/2x-3/4=-1/5

First, add by 3/4 from both sides.

`\sf{-(3)/(2)x-(3)/(4)+(3)/(4)=-(1)/(5)+(3)/(4) }`

Solve.

⇒ = -3/2x=11/20

Then, you multiply by 2 from both sides.

2(-3/2x)=11*2/20

Solve.

11*2/20

11*2=22

22/20

Common factor of 2.

11/10

-3x=11/10

Divide by -3 from both sides.

`\sf{(-3x)/(-3)=((11)/(10))/(-3)}`

Solve.

`\Longrightarrow:\boxed{\sf{x=-(11)/(30) }}`

• Therefore, the correct answer is D. x=-11/30.

I hope this helps! Let me know if you have any questions.