Solve 2x − 14 = 22

The solution of 2x − 14 = 22 is x = 18.

2x - 14 = 22\ \Rightarrow\ x = 18

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The lines y = 2x − 14 and y = 22 meet at x = 18. 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.
$2x - 14 = 22$
2
Add 14 to both sides:
$2x - 14 + 14 = 22 + 14 \ \Rightarrow\ 2x = 36$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$2\cdot18 - 14 = 36 - 14 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 14 = 22\ \Rightarrow\ x = 18 \]
\[ 2x - 14 = 22 \]
\[ 2x - 14 + 14 = 22 + 14 \ \Rightarrow\ 2x = 36 \]
\[ \frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18 \]
\[ 2\cdot18 - 14 = 36 - 14 = 22 \checkmark \]

Trying values of x in 2x − 14 = 22

x	2x − 14	Equals 22?
16	18	no
17	20	no
18	22	yes
19	24	no
20	26	no

Questions

What is x in 2x − 14 = 22?

The solution of 2x − 14 = 22 is x = 18.

How do you solve 2x − 14 = 22?

Add 14 to both sides to get 2x = 36, then divide both sides by 2 to get x = 18.

How do I check the answer?

Replace x by 18: 2(18) − 14 = 22, which is 22.

Solve 2x − 14 = 22

How to work it out

Trying values of x in 2x − 14 = 22

Questions

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