Question

How do you solve $-2\left( w+1 \right)+w=7-4w$?

Answer 1

Hint: First simplify the left side of the equation by multiplying $-2$ with $\left( w+1 \right)$. Then try to separate the constants and the variables. Keep all the terms containing ‘w’ on the left side of the equation and all the constant terms on the right side of the equation. Then do necessary calculations to get the value of ‘w’.

Complete step by step solution:
Solving this equation means we have to find the value of ‘w’, for which the equation gets satisfied.
Considering our equation $-2\left( w+1 \right)+w=7-4w$
Multiplying $-2$ with $\left( w+1 \right)$ on the left side of the equation, we get
$\begin{align}
  & \Rightarrow -2w-2+w=7-4w \\
 & \Rightarrow -w-2=7-4w \\
\end{align}$
Now we have to separate the constants and the variables.
Bringing all the terms containing ‘w’ to the left side of the equation and all the constants terms to the right side of the equation, we get
$\begin{align}
  & \Rightarrow -w+4w=7+2 \\
 & \Rightarrow 3w=9 \\
 & \Rightarrow w=\dfrac{9}{3} \\
 & \Rightarrow w=3 \\
\end{align}$
So, the solution of $-2\left( w+1 \right)+w=7-4w$ is w=3.
This is the required solution of the given question.

Note: Simplification should be done at first, if necessary. Again, separating the constants and the variables should be the first approach for solving such questions. Hence, the terms containing ‘w’ should be kept on the left side of the equation and the constant terms on the right side of the equation. Necessary calculations should be done to find the value of ‘w’.