Solve 2x − 12 = 0

The solution of 2x − 12 = 0 is x = 6.

2x - 12 = 0\ \Rightarrow\ x = 6

Explain it step by step in chat Make a short video of it

The lines y = 2x − 12 and y = 0 meet at x = 6. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$2x - 12 = 0$
2
Add 12 to both sides:
$2x - 12 + 12 = 0 + 12 \ \Rightarrow\ 2x = 12$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$2\cdot6 - 12 = 12 - 12 = 0 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 12 = 0\ \Rightarrow\ x = 6 \]
\[ 2x - 12 = 0 \]
\[ 2x - 12 + 12 = 0 + 12 \ \Rightarrow\ 2x = 12 \]
\[ \frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6 \]
\[ 2\cdot6 - 12 = 12 - 12 = 0 \checkmark \]

Trying values of x in 2x − 12 = 0

x	2x − 12	Equals 0?
4	-4	no
5	-2	no
6	0	yes
7	2	no
8	4	no

Questions

What is x in 2x − 12 = 0?

The solution of 2x − 12 = 0 is x = 6.

How do you solve 2x − 12 = 0?

Add 12 to both sides to get 2x = 12, then divide both sides by 2 to get x = 6.

How do I check the answer?

Replace x by 6: 2(6) − 12 = 0, which is 0.

Solve 2x − 12 = 0

How to work it out

Trying values of x in 2x − 12 = 0

Questions

Similar equations