Solve 9x − 14 = 22

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

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

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The lines y = 9x − 14 and y = 22 meet at x = 4. 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.
$9x - 14 = 22$
2
Add 14 to both sides:
$9x - 14 + 14 = 22 + 14 \ \Rightarrow\ 9x = 36$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{36}{9} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$9\cdot4 - 14 = 36 - 14 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 14 = 22\ \Rightarrow\ x = 4 \]
\[ 9x - 14 = 22 \]
\[ 9x - 14 + 14 = 22 + 14 \ \Rightarrow\ 9x = 36 \]
\[ \frac{9x}{9} = \frac{36}{9} \ \Rightarrow\ x = 4 \]
\[ 9\cdot4 - 14 = 36 - 14 = 22 \checkmark \]

Trying values of x in 9x − 14 = 22

x	9x − 14	Equals 22?
2	4	no
3	13	no
4	22	yes
5	31	no
6	40	no

Questions

What is x in 9x − 14 = 22?

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

How do you solve 9x − 14 = 22?

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

How do I check the answer?

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

Solve 9x − 14 = 22

How to work it out

Trying values of x in 9x − 14 = 22

Questions

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