Solve 4x − 14 = 22

The solution of 4x − 14 = 22 is x = 9.

4x - 14 = 22\ \Rightarrow\ x = 9

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

The lines y = 4x − 14 and y = 22 meet at x = 9. 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.
$4x - 14 = 22$
2
Add 14 to both sides:
$4x - 14 + 14 = 22 + 14 \ \Rightarrow\ 4x = 36$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$4\cdot9 - 14 = 36 - 14 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 14 = 22\ \Rightarrow\ x = 9 \]
\[ 4x - 14 = 22 \]
\[ 4x - 14 + 14 = 22 + 14 \ \Rightarrow\ 4x = 36 \]
\[ \frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9 \]
\[ 4\cdot9 - 14 = 36 - 14 = 22 \checkmark \]

Trying values of x in 4x − 14 = 22

x	4x − 14	Equals 22?
7	14	no
8	18	no
9	22	yes
10	26	no
11	30	no

Questions

What is x in 4x − 14 = 22?

The solution of 4x − 14 = 22 is x = 9.

How do you solve 4x − 14 = 22?

Add 14 to both sides to get 4x = 36, then divide both sides by 4 to get x = 9.

How do I check the answer?

Replace x by 9: 4(9) − 14 = 22, which is 22.

Solve 4x − 14 = 22

How to work it out

Trying values of x in 4x − 14 = 22

Questions

Similar equations