Answer:
[tex]2\frac{7}{10}[/tex]
Step-by-step explanation:
First, find the LCM and multiply through:
[tex]12(\frac{2x-1}{4} ) +12(\frac{x}{3})=12(2)[/tex]
The LCM will cancel out the denominators (note that braket symbolizes Multiplication):
:3(2x-1) +4(x)=24
:6x-3+4x=24
Group like terms:
6x+4x=24+3
10x=27
Divide through by 10 to eliminate the coefficient of x
[tex]\frac{10x}{10}=\frac{27}{10}[/tex]
: x=[tex]\frac{27}{10}=2\frac{7}{10}[/tex]