Question

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

Answer 1

Answer:

x=$1.22930$

Step-by-step 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

Answer:

x = 0.5

Step-by-step explanation:

$\frac{4}{7}(\frac{21}{8}x + \frac{1}{2}) = -2(\frac{1}{7} - \frac{5}{28}x)$

$1\frac{1}{2}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x$

$1\frac{1}{2}x - \frac{5}{14}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x - \frac{5}{14}x$

$1\frac{1}{7}x + \frac{2}{7} = - \frac{2}{7}$

$1\frac{1}{7}x + \frac{2}{7} - \frac{2}{7} = - \frac{2}{7} - \frac{2}{7}$

$1\frac{1}{7}x = - \frac{4}{7}$

$\frac{1\frac{1}{7}x}{1\frac{1}{7} } = \frac{- \frac{4}{7}}{1\frac{1}{7} }$

$x = -\frac{1}{2}$