Solve 2x − 12 = 22

The solution of 2x − 12 = 22 is x = 17.

2x - 12 = 22\ \Rightarrow\ x = 17

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The lines y = 2x − 12 and y = 22 meet at x = 17. 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.
$2x - 12 = 22$
2
Add 12 to both sides:
$2x - 12 + 12 = 22 + 12 \ \Rightarrow\ 2x = 34$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{34}{2} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$2\cdot17 - 12 = 34 - 12 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 12 = 22\ \Rightarrow\ x = 17 \]
\[ 2x - 12 = 22 \]
\[ 2x - 12 + 12 = 22 + 12 \ \Rightarrow\ 2x = 34 \]
\[ \frac{2x}{2} = \frac{34}{2} \ \Rightarrow\ x = 17 \]
\[ 2\cdot17 - 12 = 34 - 12 = 22 \checkmark \]

Trying values of x in 2x − 12 = 22

x	2x − 12	Equals 22?
15	18	no
16	20	no
17	22	yes
18	24	no
19	26	no

Questions

What is x in 2x − 12 = 22?

The solution of 2x − 12 = 22 is x = 17.

How do you solve 2x − 12 = 22?

Add 12 to both sides to get 2x = 34, then divide both sides by 2 to get x = 17.

How do I check the answer?

Replace x by 17: 2(17) − 12 = 22, which is 22.

Solve 2x − 12 = 22

How to work it out

Trying values of x in 2x − 12 = 22

Questions

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