Question

3x/2+5/24=5x/8+13/12

Answer 1

Rewrite equation:
\[\frac{3x}{2}+\frac{5}{24}=\frac{5x}{8}+\frac{13}{12}\]
Change all so thet have a common denominator (In this case \(24\))
\[\frac{3x*12}{2*12}+\frac{5}{24}=\frac{5x*3}{8*3}+\frac{13*2}{12*2}\]
Solve the multiplication:
\[\frac{36x}{24}+\frac{5}{24}=\frac{15x}{24}+\frac{26}{24}\]
Times both sides by 24 to remove the denominator
\[24(\frac{36x}{24}+\frac{5}{24})=24(\frac{15x}{24}+\frac{26}{24})\]
Simplify:
\[36x+5=15x+26\]
Put common terms together
\[36x-15x=26-5\]
Simplify, then solve:
\[21x=21\]
\[x=\frac{21}{21}\]
\[x=1\]
Hope that helps, @Laura161. Just say if you don't understand. If this helped you, please click the \(Best-Response\) and \(Close-Question\) button :)