Step-by-step explanation:
[tex] \frac{2x - 1}{4} + \frac{x}{3} = 2[/tex]
find a common denominator of 12 for each fraction
[tex] \frac{3}{3} \times \frac{(2x - 1)}{4} + \frac{4}{4} \times \frac{x}{3} = \frac{12}{12} \times \frac{2}{1} [/tex]
[tex] \frac{6x - 3}{12} + \frac{4x}{12} = \frac{24}{12} [/tex]
[tex] \frac{6x - 3 + 4x}{12} = \frac{24}{12} [/tex]
[tex] \frac{10x - 3}{12} = \frac{24}{12} [/tex]
multiply both sides by 12
[tex]12 \times \frac{10x - 3}{12} = \frac{24}{12} \times 12[/tex]
12s cancel out
[tex]10x - 3 = 24[/tex]
add three to both sides
[tex]10x - 3 + 3 = 24 + 3[/tex]
[tex]10x = 27[/tex]
divide both sides by 10
[tex] \frac{10x}{10} = \frac{27}{10} [/tex]
The tens on the left side cancel
[tex]x = \frac{27}{10} = 2.7[/tex]
