Question

2x/3+x/2-3x/4=1 find x .​

Answer 1

here is the answer in the attachment:-

Step-by-step explanation:

Answer 2

Given: The equation is$2x/3+x/2-3x/4=1$.

We have to find the value of$x$.

• By using the Bodmas rule, we are solving the above equation.
• As we know that the Bodmas rule is used to remember the order of operations to be followed while solving expressions in mathematics.

Where,

$\begin{array}{l}\mathrm{B}=\text{brackets}\\\mathrm{O}=\text { order of powers or rules } \\\mathrm{D}=\text { division } \\\mathrm{M}=\text { multiplication } \\\mathrm{A}=\text { addition } \\\mathrm{S}=\text { subtraction }\end{array}$

We are solving in the following way:

We have,

The equation is$2x/3+x/2-3x/4=1$

$\Rightarrow \frac{2x}{3} +\frac{x}{2} -\frac{3x}{4} =1\\\\\Rightarrow \frac{2x}{3}\times\frac{4}{4} +\frac{x}{2}\times\frac{6}{6} -\frac{3x}{4}\times\frac{3}{3} =1\\\\\Rightarrow \frac{8x}{12} +\frac{6x}{12} -\frac{9x}{12} =1\\\\\Rightarrow \frac{8x+6x-9x}{12} =1\\\\\Rightarrow \frac{5x}{12} =1\\\\\Rightarrow5x=1\times12\\\\\Rightarrow5x=12\\\\\Rightarrow x=\frac{12}{5}$

Hence, the value of$x$ will be$\frac{12}{5}$.