Question

How do you solve $6x + 2 = 2x - 14$ ?

Answer 1

Hint: To solve this question we should know about linear equations. Linear equation in two variables: The equation having the highest degree on any variable. Be should keep in mind always LHS is equal to RHS if not then we are doing the wrong solution.

Complete step by step solution:
As given equation is;
 $\Rightarrow 6x + 2 = 2x - 14$
We have to calculate the value of $x$ .
We will go step by step as given below:
Step 1: Subtract $2$ from both sides of the equation. We get,
 $\Rightarrow 6x + 2 - 2 = 2x - 14 - 2$
 $\Rightarrow 6x = 2x - 16$
Step 2: Subtract $2x$ from both sides of the equation:
 $\Rightarrow 6x - 2 = 2x - 16 - 2x$
$4x = - 16$
Step 3: Divide both sides by $4$ . we get,
 $\Rightarrow \dfrac{{4x}}{4} = \dfrac{{ - 16}}{4}$
 $\Rightarrow x = - 4$

Thus the required solution is x =-4.

Note: Let’s check our solution is it right or wrong,
Equation is $6x + 2 = 2x - 14$
Keep $x = - 4$ . We get,
$\Rightarrow 6\left( { - 4} \right) + 2 = 2( - 4) - 14$
$\Rightarrow - 24 + 2 = - 8 - 14$
$\Rightarrow - 22 = - 22$
Hence LHS=RHS
So, our solution is correct.