Question

$\frac{2x + 1}{10} - \frac{3 - 2x}{15} = \frac{x - 2}{6}$
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Answer 1

➤ Answer

• x = $\bf{\green{\cfrac{-7}{5}}}$

➤ Given

$\sf\cfrac{2x + 1}{10} - \cfrac{3 - 2x}{15} = \cfrac{x - 2}{6}$

➤ To Find

• The value of x in the given equation.

➤ Step By Step Explanation

Given a equation $\tt\cfrac{2x + 1}{10} - \cfrac{3 - 2x}{15} = \cfrac{x - 2}{6}$

We need to find the value of x.

So let's do it !!

The equations are in fractions so first we need to find L.C.M. to make their denominator equal and we need to solve their numerator. Later we will transpose the denominators to other sides and then we can easily solve this equation using basic arithmetic.

$\longmapsto\tt\cfrac{2x + 1}{10} - \cfrac{3 - 2x}{15} = \cfrac{x - 2}{6} \\ \\ \longmapsto\tt \cfrac{3(2x + 1) - 2(3 - 2x)}{30} = \cfrac{x - 2}{6} \\ \\\longmapsto\tt \cfrac{6x + 3 - 6 + 4x}{30} = \cfrac{x - 2}{6} \\ \\\longmapsto\tt \cfrac{10x - 3}{30} = \cfrac{x - 2}{6} \\ \\\longmapsto\tt 6(10x - 3) = 30(x - 2) \\ \\\longmapsto\tt 60x - 18 = 30x - 60 \\ \\\longmapsto\tt 60x - 30x = - 60 + 18 \\ \\\longmapsto\tt 30x = -42\\ \\\longmapsto\tt x = \cancel\cfrac{-42}{30} \\ \\\longmapsto\bf{\pink{x = \cfrac{-7}{5}}}$

➵ Therefore, x = $\bf{\green{\cfrac{-7}{5}}}$

_____________________

Answer 2

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