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towl35

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]

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