Question

How do you solve $-20=-4x-6x$ ?

Answer 1

Hint: In this question, we have to find the value of x. As we have to solve a linear equation that consists of only a variable. Therefore, we first solve the right-hand side of the equation. Thus, we collect the variable x as common on the right-hand side of the equation and make them solve the terms within the brackets. After that, we open the bracket and divide both sides of the equation by 10. Thus, on further solving, we multiply both sides of the equation by (-1) and get the value of x, which is our required answer.

Complete step by step answer:
According to the question, we have to find the value of x.
The equation given to us is $-20=-4x-6x$ ---------- (1)
Firstly, we will solve the right-hand side of the equation (1) ,that is
$\Rightarrow -20=-4x+(-6x)$
Now, we will collect the variable x as common, we get
$\Rightarrow -20=\left[ -4+(-6) \right]x$
Thus, on further solving, we get
$\Rightarrow -20=\left[ -10 \right]x$
Now, we will open the brackets of the right-hand side in the above equation, we get
$\Rightarrow -20=-10x$
Now, we will divide 10 on both sides in the above equation, we get
$\Rightarrow \dfrac{-20}{10}=\dfrac{-10}{10}x$
Therefore, on further solving, we get
$\Rightarrow -2=-x$
Now, multiply (-1) on both sides in the above equation, we get
$\Rightarrow -2.(-1)=-x.(-1)$
Thus, we get
$\Rightarrow 2=x$

Therefore, for the equation $-20=-4x-6x$ , the value of x is equal to 2, which is our required answer.

Note: Make all the necessary calculations properly and avoid mathematical errors. Do write all the steps one-by-one to avoid any mistakes. Do keep in mind, while adding the additional sign in the first step, that is $-+$ leads to a negative sign when two terms are multiplied.