Question

2+3x=-4(5+2x) solve for x, help please

Answer 1

X = -2 and for a little help use Photo-math for youre answers! Works great!

Answer 2

Answer:

$x=-2$

Step-by-step explanation:

$2+3x=-4.(5+2x)$

$Expand \: the \: parentheses:$

$2 + 3x = - 4.5 - 4.2x$

$Simplify \: the \: arithmetic:$

$2 + 3x = - 20 - 4.2x$

$Solve \: by \: distributing:$

$2 + 3x = - 20 - 8x$

$Group \: all \: x \: terms \: on \: the \: left \: \\ side \: of \: the \: equation$

$2 + 3x = - 20 - 8x$

$Add \: 8x \: to \: both \: sides:$

$2 + 3x + 8x = - 8x + 8x$

$Simplify \: the \: arithmetic:$

$11x + 2 = - 20 - 8x + 8x$

$Group \: like \: terms:$

$11x + 2 = - 8x + 8x - 20$

$Group \: all \: constants \: on \: the \: right \\ \: side \: of \: the \: equation$

$11x + 2 = - 8x + 8x - 20$

$Subtract \: 2 \: from \: both \: sides:$

$11x + 2 - = - 20 - 2$

$Simplify \: the \: arithmetic:$

$11x = - 20 - 2$

$Simplify \: the \: arithmetic:$

$11x = - 22$

$Isolate \: the \: x$

$11x = - 22$

$Divide \: both \: sides \: by \: 11:$

$\frac{11x}{11} = \frac{ - 22}{11}$

$Simplify \: the \: fraction:$

$x = \frac{ - 22}{11}$

$Find \: the \: greatest \: common \: factor \\ \: of \: the \: numerator \: and \: denominator:$

$x = \frac{ - 2.11}{1.11}$

$Factor \: out \: and \: cancel \: the \: greatest \\ \: common \: factor:$

$x = - 2$

Thanks!!!!!!!