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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]

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