Question

Solve for \[x\]: \[5x + 10 = 50\]

Answer 1

Hint: Here we are asked to solve for \[x\] that is we need to find the value of the unknown variable \[x\]. Any simple equation can be solved by three methods: the trial-and-error method, the systematic method, and the transposition method. We will use the transposition method to solve this problem, that is keeping the required term alone on one side of the equation and transferring the other terms to the other side and solving will give the value of the unknown variable.

Complete step by step answer:
It is given that \[5x + 10 = 50\] we aim to solve the given equation for the value of the unknown variable \[x\].
We will solve this equation by using the transposition method. In this method, we will keep the required term or the unknown variable that we want to find and transfer the other terms to another side. Then by solving the transferred terms we will get the value of the unknown variable.
First, let us consider the given equation \[5x + 10 = 50\]. Here the unknown variable is \[x\]. So keeping the term \[5x\] on one side and transferring the other terms to another side we get
\[5x = 50 - 10\]
On simplifying the above, we get
\[5x = 40\]
On further simplification we get
\[x = 8\]
Thus, we got the value of the unknown variable \[x\] as \[8\].

Note:
 In the transposition method, when we transfer the terms from one side to the other their operation will change, addition will become subtraction, the subtraction will become an addition, multiplication will become division, and division will become multiplication. That is why the term \[10\] on the left-hand side which is in addition became subtraction on transferring it to the right-hand side and also the term \[5\] on multiplication became a division.