Question

How do you solve $4x+10=-26$?

Answer 1

Hint: The given equation is pretty simple and easy to solve. You need to find the value of x by solving the equation with the basics of operations like addition, subtraction, multiplication, and division. Henceforth, you will get the result. So, let’s see what will be the approach.

Complete Step by Step Solution:
The given equation is $4x+10=-26$.
Firstly, subtract 10 from both the sides, that means, we get,
$\Rightarrow 4x+10-10=-26-10$
Now, when we simplify the above equation we get,
$\Rightarrow 4x=-36$
Now, divide by 4 from both the sides, that means, we get,
$\Rightarrow \dfrac{4x}{4}=-\dfrac{36}{4}$
Now, cancel 4 from the numerator and denominator in the left-hand side and simply divide the right-hand side, that means, we get,
$\Rightarrow \dfrac{\not{4}x}{{\not{4}}}=-9$
Now, when we simplify the above equation we get,
$\Rightarrow x=-9$

Therefore, we get the value of x is -9 for the equation $4x+10=-26$.

Note:
There is an alternative way for the given equation and it is pretty easy and can be evaluated with fewer steps.
Now, just take the 10 to the right side with the change of sign, that means, we get,
$\Rightarrow 4x=-26-10$
Now, when we simplify the above equation we get,
$\Rightarrow 4x=-36$
Now, take the 4 to the right-hand side and it will be in the form of division and just simply divide, that means, we get,
$\Rightarrow x=-\dfrac{36}{4}=-9$
Therefore, we get the value of x is -9 for the equation$4x+10=-26$.