Question

2/3(x-5)-1/4(x-2)=9/2​

Answer 1

Answer:

2/3x-10/3-1/4x-1/2=9/2

2/3x-1/4x-10/3-1/2=9/2

5/12x-30/6=9/2

5/12x=9/2+30/6

5/12x=48/6

5/12x=8

x=8*12/5

x=96/5

you can convert in mixed fraction if you want

hope helps

Answer 2

Answer:

$\frac{2}{3} (x - 5) - \frac{1}{4} (x - 2) = \frac{9}{2}$

$\frac{2}{3} x - \frac{10}{3} - \frac{1}{4}x - \frac{1}{2} = \frac{9}{2}$

$\frac{2}{3} x - \frac{1}{4} x - \frac{10}{3} - \frac{1}{2} = \frac{9}{2}$

$( \frac{8x - 3x}{12} ) - ( \frac{20 + 3}{6} ) = \frac{9}{2}$

$\frac{11x}{12} - \frac{23}{6} = \frac{9}{2}$

$\frac{11x}{12} = \frac{9}{2} + \frac{23}{6}$

$\frac{11x}{12} = \frac{27 + 23}{6}$

$\frac{11x}{12} = \frac{50}{6}$

$11x = \frac{50}{6} \times 12$

=11x=100

$x = \frac{100}{11}$

$x = 9 \frac{1}{100}$

Step-by-step explanation:

Hope it helps you ❤️❤️.

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