Question

$x + 2\div 5x = 35$
Solve this equation correctly for marking you brainliest​

Answer 1

Simple equation

We've been given an equation $x + 2\div 5x = 35$ and we've asked to solve the equation.

So, let's frame the equation and understanding the steps to get our final answer.

We can write this equation like this,

$\implies \dfrac{x + 2}{5x}= 35$

Move the variable to right hand side and change the symbol,

$\implies x + 2 = 5x \times 35$

Simplify the expression,

$\implies x + 2 = 175x$

Move the variable to left hand side and change the symbol,

$\implies x + 2 - 175x = 0$

Move the constant to right side and change the sign,

$\implies x - 175x = -2$

Organize the expression,

$\implies -174x = -2$

Change the sign of both sides of the equation,

$\implies 174x = 2$

Divide both sides by the same number,

$\implies \boxed{x = \dfrac{1}{87}}$

Hence, the value of $x$ is $\dfrac{1}{87}$.

Answer 2

Answer :-

⠀

☆ We have been provided with the equation :-

$\boxed{\sf \: x + 2 \div 5x = 35}$

☆ We can re-write it in the following way,

$\sf : \implies \: \frac{x + 2}{5x} = 35$

☆ Now, we will move the term with variable to R.H.S. and equate it,

$\sf : \implies \: x + 2 = 35 \times 5x \\ \sf : \implies \: x + 2 = 175x \: \: \: \: \: \:$

☆ Now, we will move the variables to one - common side,

$\sf : \implies \: x - 175x = - 2 \\ \sf : \implies \: - 174x = - 2 \: \: \: \:$

☆ We can cancel the negative signs on both the sides, and further equate it,

$\sf : \implies \: 174x = 2 \\ \sf : \implies \: x = \frac{2}{174} \: \\ \sf : \implies \: x = \frac{1}{87} \: \: \: \:$

Therefore, the value of x is $\boxed{ \sf \bigstar\: \frac{1}{87} }$

I hope that helps you :))