Question

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

Answer 1

Answer:

$\Longrightarrow: \boxed{\sf{x=-\dfrac{11}{30} }}$

Step-by-step 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.

$\sf{-\dfrac{3}{2}x-\dfrac{3}{4}+\dfrac{3}{4}=-\dfrac{1}{5}+\dfrac{3}{4} }$

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.

$\sf{\dfrac{-3x}{-3}=\dfrac{\dfrac{11}{10}}{-3}}$

Solve.

$\Longrightarrow:\boxed{\sf{x=-\dfrac{11}{30} }}$

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

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