Question

2(x + 31.5) = 3x + 24

Answer 1

Answer:

2(x + 31.5) = 3x + 24

2x+63= 3x+24

2x+63-63=3x+24-63

x=39

Answer 2

Answer:

$x=39$

Step-by-step explanation:

$2\left(x+31.5\right)=3x+24$

$\textbf{Apply the distributive law:-}$

$a(b+c)=ab+ac$

here, a= 2, b=x, c= 31.5

$2\left(x+31.5\right)$

$\textbf{Multiple:-}$ $2\cdot \:31.5=63$

$=2x+63$

$2x+63=3x+24$

$\textbf{Now, Subtract 63 from both sides:-}$

$2x+63-63=3x+24-63$

$2x=3x-39$

$\textbf{\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}:-}$

$2x-3x=3x-39-3x$

$-x=-39$

$\textbf{\mathrm{Divide\:both\:sides\:by\:}-1:-}$

$\frac{-x}{-1}=\frac{-39}{-1}$

$x=39$

$\textbf{OAmalOHopeO}$