Question

Which value of x satisfies the equation one quarter, left parenthesis, x, minus, start fraction, 2, divided by, 5, end fraction, right parenthesis, equals, minus, start fraction, 27, divided by, 20, end fraction
4
1
​
(x−
5
2
​
)=−
20
27

Answer 1

Interpreting the equation as (1/4)(x − 2/5) = −27/20:

Multiply both sides by 4:
x − 2/5 = 4(−27/20) = −108/20 = −27/5

Add 2/5 to both sides:
x = −27/5 + 2/5 = −25/5 = −5

So x = −5.

If you meant a different equation, please paste it exactly and I’ll solve that one.