Question

How do you solve $3x+5=32$ ?

Answer 1

Hint: We are given a one-degree polynomial equation in x-variable which has one term of x-variable and two constant terms, one each on the left-hand side and the right-hand side. We shall first transpose all the constant terms on the right hand side and perform simple addition or subtraction according to the equation. Then, we will make the coefficient of x equal to 1 to obtain our final solution of the given equation.

Complete step by step solution:
Given that $3x+5=32$.
The constant term on the left hand side is 5 and the constant term on the right hand side is 32. We shall transpose 5 to the right hand side first and subtract it from 32.
$\Rightarrow 3x=32-5$
$\Rightarrow 3x=27$
In order to make the coefficient of x equal to 1, we will now divide the entire equation by 3.
$\Rightarrow \dfrac{3x}{3}=\dfrac{27}{3}$
$\Rightarrow x=9$
The solution of the equation is the value of the variable-x which will be obtained on solving the equation and we have calculated variable x equal to 9.

Therefore, the solution of the given equation $3x+5=32$ is $x=9$

Note: Another method of solving this equation was by transposing the constant term 32 to the left hand side of the equation and subtracting it from 5 after which we would have got $3x-27=0$. Then we shall group the common factors and separate the other terms as $3\left( x-9 \right)=0$. Further we shall equate $\left( x-9 \right)$ equal to 0 to compute the value of variable-x equal to 9.