Question

How do you solve $2(x+3)=10$ ?

Answer 1

Hint: In this question, we have to find the value of x from the equation. To solve this problem, we will use the distributive property. So, we first apply the distributive property $a(b-c)=ab-ac$ on the left-hand side of the equation, and then we will subtract 6 on both sides of the equation. After the necessary calculations, we will divide 2 on both sides of the equation, to get the required result to the solution.

Complete step-by-step answer:
According to the question, we have to find the value of x.
So, we will use the distributive property to get the solution to the problem.
The equation to be solved is $2(x+3)=10$ --------- (1)
Now, we will apply the distributive property $a(b-c)=ab-ac$ on the left-hand side in the equation (1), we get
$\Rightarrow 2x+2\times 3=10$
On further solving, we get
$\Rightarrow 2x+6=10$
Now, we will subtract 6 on both sides in the above equation, we get
$\Rightarrow 2x+6-6=10-6$
As we know, the same terms with opposite signs cancel out each other, therefore we get
$\Rightarrow 2x=4$
Now, we will divide 2 on both sides in the above equation, we get
$\Rightarrow \dfrac{2}{2}x=\dfrac{4}{2}$
Therefore, we get
Now, we will subtract 6 on both sides in the above equation, we get
$\Rightarrow x=2$
Therefore, for the equation $2(x+3)=10$ , the value of x is equal to 2.

Note: While solving this problem, keep in mind the distributive property, do mention in the steps to avoid confusion and mathematical errors. One of the alternative methods to solve this problem is first to divide 2 on both sides of the equation. On further simplification, we subtract 3 on both sides of the equation, to get the required solution to the problem.