Answer

Verified

408k+ views

**Hint:**We separate the variables and the constants of the equation $-3x=x-\left( 6-2x \right)$. We have one multiplication. We multiply the constants. Then we apply the binary operation of addition and subtraction for both variables and constants. The solutions of the variables and the constants will be added at the end to get the final answer to equate with 0. Then we solve the linear equation to find the value of x.

**Complete step by step solution:**

The given equation $-3x=x-\left( 6-2x \right)$ is a linear equation of x. We need to simplify the equation by completing the multiplication of the constants separately.

All the terms in the equation of $-3x=x-\left( 6-2x \right)$ are either variables of x or a constant. We break the multiplication by multiplying $-1$ with $\left( 6-2x \right)$. So, $-\left( 6-2x \right)=2x-6$.

The equation becomes

$\begin{align}

& -3x=x-\left( 6-2x \right) \\

& \Rightarrow -3x=x+2x-6 \\

\end{align}$.

We take all the variables and the constants on one side and get $x+2x+3x-6=0$.

There are three variables which are $x,2x,3x$.

The binary operation between them is addition which gives us $x+2x+3x=6x$.

Now we take the constants. There is only one constant which is $-6$.

The final solution becomes

$\begin{align}

& x+2x+3x-6=0 \\

& \Rightarrow 6x-6=0 \\

\end{align}$.

Now we take the variable on one side and the constants on the other side.

\[\begin{align}

& 6x-6=0 \\

& \Rightarrow 6x=6 \\

& \Rightarrow x=\dfrac{6}{6}=1 \\

\end{align}\]

**Therefore, the solution is $x=1$.**

**Note:**We can verify the result of the equation $-3x=x-\left( 6-2x \right)$ by taking the value of x as $x=1$.

Therefore, the left-hand side of the equation becomes $-3x=\left( -3 \right)\times 1=-3$.

The right-hand side of the equation becomes \[x-\left( 6-2x \right)=1-\left( 6-2\times 1 \right)=1-4=- 3\].

Thus, verified for the equation $-3x=x-\left( 6-2x \right)$ the solution is $x=1$.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Choose the antonym of the word given below Furious class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Change the following sentences into negative and interrogative class 10 english CBSE