Question

4/7(21/8 x + 1/2) = -2(1/7 - 5/28x)
What is x in decimal form?

Answer 1

x=
`1.22930`

Explanation:

47(218 x+12 ) =−2(17 −528 x)

Simplify 47(218 x+12 ) : 327(21x+4) 327(21x+4) =−2(17 −528 x)

Multiply both sides by 7(21x+4)

327(21x+4) · 7(21x+4)=−2(17 −528 x)· 7(21x+4)

Simplify, 32=−14(17 −528 x)(21x+4)

Solve 32=−14(17 −528 x)(21x+4): x=32+4√589105 , x=32−4√589105 x=32+4√589105 , x=32−4√589105

Answer 2

x = 0.5

Explanation:

`(4)/(7)((21)/(8)x + (1)/(2)) = -2((1)/(7) - (5)/(28)x)`

`1(1)/(2)x + (2)/(7) = - (2)/(7) + (5)/(14)x`

`1(1)/(2)x - (5)/(14)x + (2)/(7) = - (2)/(7) + (5)/(14)x - (5)/(14)x`

`1(1)/(7)x + (2)/(7) = - (2)/(7)`

`1(1)/(7)x + (2)/(7) - (2)/(7) = - (2)/(7) - (2)/(7)`

`1(1)/(7)x = - (4)/(7)`

`(1(1)/(7)x)/(1(1)/(7) ) = (- (4)/(7))/(1(1)/(7) )`

`x = -(1)/(2)`