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How do you solve $4x+7=27$?

Last updated date: 23rd Feb 2024
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Hint: In this problem, we have to solve the given equation and find the value of x. We can first subtract the number 7 on both the left-hand side and the right-hand side of the given equation and cancel similar terms on the left-hand side. We can then divide the number 4 on both the left-hand side and the right-hand side to get the value of x.

We know that the given equation to be solved to find the value of x is,
$4x+7=27$
We can first subtract the number 7 on both left-hand side and the right-hand side of the given equation and cancel similar terms on the left-hand side, we get
\begin{align} & \Rightarrow 4x+7-7=27-7 \\ & \Rightarrow 4x=20 \\ \end{align}
We can now divide the number 4 on both the left-hand side and the right-hand side to get the value of x.
$\Rightarrow \dfrac{4x}{4}=\dfrac{20}{4}$
We can now cancel the similar terms on the left-hand side and use multiplication tables to can the terms on the right-hand side, we get
$\Rightarrow x=5$

Therefore, the value of x = 5.

Note: We can also check this value by substituting the resulted value in the given equation, we get
\begin{align} & \Rightarrow 4\left( 5 \right)+7=27 \\ & \Rightarrow 20+7=27 \\ \end{align}
We can see that we got the same number on both the left-hand side and the right-hand side. Therefore, it is a correct value. Students make mistakes while using multiplication to simplify, we should know multiplication tables to solve these types of problems.