Solve 2x − 6 = 18

The solution of 2x − 6 = 18 is x = 12.

2x - 6 = 18\ \Rightarrow\ x = 12

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

The lines y = 2x − 6 and y = 18 meet at x = 12. 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.
$2x - 6 = 18$
2
Add 6 to both sides:
$2x - 6 + 6 = 18 + 6 \ \Rightarrow\ 2x = 24$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$2\cdot12 - 6 = 24 - 6 = 18 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 6 = 18\ \Rightarrow\ x = 12 \]
\[ 2x - 6 = 18 \]
\[ 2x - 6 + 6 = 18 + 6 \ \Rightarrow\ 2x = 24 \]
\[ \frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12 \]
\[ 2\cdot12 - 6 = 24 - 6 = 18 \checkmark \]

Trying values of x in 2x − 6 = 18

x	2x − 6	Equals 18?
10	14	no
11	16	no
12	18	yes
13	20	no
14	22	no

Questions

What is x in 2x − 6 = 18?

The solution of 2x − 6 = 18 is x = 12.

How do you solve 2x − 6 = 18?

Add 6 to both sides to get 2x = 24, then divide both sides by 2 to get x = 12.

How do I check the answer?

Replace x by 12: 2(12) − 6 = 18, which is 18.

Solve 2x − 6 = 18

How to work it out

Trying values of x in 2x − 6 = 18

Questions

Similar equations