Solve 2x − 12 = −22

The solution of 2x − 12 = −22 is x = -5.

2x - 12 = -22\ \Rightarrow\ x = -5

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The lines y = 2x − 12 and y = -22 meet at x = -5. 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:
$2x - 12 + 12 = -22 + 12 \ \Rightarrow\ 2x = -10$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-10}{2} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$2\cdot(-5) - 12 = -10 - 12 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 12 = -22\ \Rightarrow\ x = -5 \]
\[ 2x - 12 = -22 \]
\[ 2x - 12 + 12 = -22 + 12 \ \Rightarrow\ 2x = -10 \]
\[ \frac{2x}{2} = \frac{-10}{2} \ \Rightarrow\ x = -5 \]
\[ 2\cdot(-5) - 12 = -10 - 12 = -22 \checkmark \]

Trying values of x in 2x − 12 = −22

x	2x − 12	Equals -22?
-7	-26	no
-6	-24	no
-5	-22	yes
-4	-20	no
-3	-18	no

Questions

What is x in 2x − 12 = −22?

The solution of 2x − 12 = −22 is x = -5.

How do you solve 2x − 12 = −22?

Add 12 to both sides to get 2x = -10, then divide both sides by 2 to get x = -5.

How do I check the answer?

Replace x by -5: 2(-5) − 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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