Question

What is the value of x

Answer 1

Answer:

$x=2$

Step-by-step explanation:

$\cfrac{7}{9}\:x-\cfrac{4}{9}\:x=\cfrac{1}{4}+\cfrac{5}{12}$

First, combine  $\frac{7}{9} x$ and $-\frac{4}{9} x$ =  $\frac{1}{3} x$

$\cfrac{1}{3}\: x=\cfrac{1}{4} +\cfrac{5}{12}$

LCM of 4 and 12 is 12, Convert 1/4 and 5/12 to fraction with denominator 12:

$\cfrac{1}{3}\: x=\cfrac{3}{12} +\cfrac{5}{12}$

Since 3/12 and 5/12 have the same denominator, let's add numerators:

$\cfrac{1}{3}\:x=\cfrac{3+5}{12}$

$\cfrac{1}{3}\:x=\cfrac{8}{12}$

Reduce the fraction 8/12 to lowest term by extracting and  canceling out 4,

$\cfrac{1}{3} \:x=\cfrac{2}{3}$

Multiply both sides by 3, reciprocal of 1/3:

$x=\cfrac{2}{3} \times 3$

Cancel out 3 and 3:

$x=2$

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Answer 2

Answer:

$x = 2$

Step-by-step explanation:

First simplify the equation.

1. $\frac{7}{9}x -\frac{4}{9} =\frac{1}{4} +\frac{5}{12}$
2. $\frac{3}{9}x= \frac{3}{12} +\frac{5}{12}$
3. $\frac{3}{9}x=\frac{8}{12}$
4. $\frac{1}{3}x=\frac{2}{3}$

Now multiply both sides by 3.

$x = 2$

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