Question

What is the value of x in the equation
$2x+4=10?$

• A. 4
• B. 6
• C. 3
• D. 1

Answer 1

The correct option is C 3

Given $2x+4=10$
We want all variables on one side and all constants on the other
So we shall keep x on the left hand side and shift the 4 to the right hand side.
When a number is shifted from one side of the equation to another, the sign changes.
Thus, $2x=10-4$.
$2x=6$
Now the variable x is multiplied with 2. Hence we take that 2 to the right hand side.
$x=\frac{6}{2}$
Or $x=3$

The equation can also be solved this way
We have $2x+4=10$
We shall subtract 4 on both sides, because the number on the left hand side apart from the variable is 4
$2x+4-4=10-4$
$2x=6$
Now, we shall divide both sides by 2, since the variable is multiplied by 2 on the left hand side
$\frac{2x}{2}=\frac{6}{2}$
$x=3$