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BaLLatris [955]
2 years ago
8

Please answer below :-)

Mathematics
1 answer:
katrin2010 [14]2 years ago
4 0

Step-by-step explanation:

\frac{2x - 1}{4}  +  \frac{x}{3}  = 2

find a common denominator of 12 for each fraction

\frac{3}{3}  \times  \frac{(2x - 1)}{4}  +  \frac{4}{4}  \times  \frac{x}{3}  =  \frac{12}{12}  \times  \frac{2}{1}

\frac{6x - 3}{12}  +  \frac{4x}{12}  =  \frac{24}{12}

\frac{6x - 3 + 4x}{12}  =  \frac{24}{12}

\frac{10x - 3}{12}  =  \frac{24}{12}

multiply both sides by 12

12 \times  \frac{10x - 3}{12}  =  \frac{24}{12}  \times 12

12s cancel out

10x - 3 = 24

add three to both sides

10x - 3 + 3 = 24 + 3

10x = 27

divide both sides by 10

\frac{10x}{10}  =  \frac{27}{10}

The tens on the left side cancel

x =  \frac{27}{10}  = 2.7

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