Question

What is the value of x in the equation 4 . 10 X+52 3 +35x+1 5 ?

:)​

Answer 1

`x=-3`

Explanation:

Given:

`4(3)/(10)-(2(2)/(5)x+5(1)/(2))=(1)/(2)(-3(3)/(5)x+1(1)/(5))`

Distribute to remove parentheses:

`4(3)/(10)-2(2)/(5)x-5(1)/(2)=-(18)/(10)x+(6)/(10)`

For simplification and clarity, reduce all mixed numbers to simplified common fractions:

`(43)/(10)-(12)/(5)x-(11)/(2)=-(9)/(5)x+(3)/(5)`

Combine like terms:

`-(12)/(5)x-(6)/(5)=-(9)/(5)x+(3)/(5)`

Add 6/5 to both sides, then add 9/5x to both sides:

`-(3)/(5)x=(9)/(5)`

Divide both sides by -3/5 to isolate x (recall dividing by a number is equal to multiplying by its reciprocal):

`x=(9)/(5)\cdot -(5)/(3), \\x=(-9)/(3),\\x=\boxed{-3}`