Solve 2x − 14 = 18

The solution of 2x − 14 = 18 is x = 16.

2x - 14 = 18\ \Rightarrow\ x = 16

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

The lines y = 2x − 14 and y = 18 meet at x = 16. 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.
$2x - 14 = 18$
2
Add 14 to both sides:
$2x - 14 + 14 = 18 + 14 \ \Rightarrow\ 2x = 32$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{32}{2} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$2\cdot16 - 14 = 32 - 14 = 18 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 14 = 18\ \Rightarrow\ x = 16 \]
\[ 2x - 14 = 18 \]
\[ 2x - 14 + 14 = 18 + 14 \ \Rightarrow\ 2x = 32 \]
\[ \frac{2x}{2} = \frac{32}{2} \ \Rightarrow\ x = 16 \]
\[ 2\cdot16 - 14 = 32 - 14 = 18 \checkmark \]

Trying values of x in 2x − 14 = 18

x	2x − 14	Equals 18?
14	14	no
15	16	no
16	18	yes
17	20	no
18	22	no

Questions

What is x in 2x − 14 = 18?

The solution of 2x − 14 = 18 is x = 16.

How do you solve 2x − 14 = 18?

Add 14 to both sides to get 2x = 32, then divide both sides by 2 to get x = 16.

How do I check the answer?

Replace x by 16: 2(16) − 14 = 18, which is 18.

Solve 2x − 14 = 18

How to work it out

Trying values of x in 2x − 14 = 18

Questions

Similar equations