Solve the following:$3x \div 4 -7 \div 4 = 5x+12$.

Given :

The given expression is $3x ÷4-7 ÷4=5x+12$.

To do :

We have to find the value of x.

Solution :

$3x \div 4 -7 \div 4 = 5x+12$

In these types of problems, the BODMAS method should be used.

$\frac{3x}{4}-\frac{7}{4}=5x+12$

$\frac{3x-7}{4}=5x+12$

$3x-7=4(5x+12)$

$3x-7=20x+48$

$3x-20x = 48+7$

$-17x=55$

$x=\frac{55}{-17}=-\frac{55}{17}$.

Therefore, the value of x is $-\frac{55}{17}$.

$\begin{array}{l}$ 3x\ \div 4-7\ \div 4=5x+12\ \frac{3x}{4} -\frac{7}{4} =5x+12\ \frac{3x-7}{4} =5x+12\ 3x-7=4( 5x+12)\ 3x-7=20x+48\ 20x-3x=-7-48\ 17x=-55\ x=\frac{-55}{17} \end{array}

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Updated on: 10-Oct-2022

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