Solve 2x − 2 = −22

The solution of 2x − 2 = −22 is x = -10.

2x - 2 = -22\ \Rightarrow\ x = -10

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The lines y = 2x − 2 and y = -22 meet at x = -10. 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.
$2x - 2 = -22$
2
Add 2 to both sides:
$2x - 2 + 2 = -22 + 2 \ \Rightarrow\ 2x = -20$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$2\cdot(-10) - 2 = -20 - 2 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 2 = -22\ \Rightarrow\ x = -10 \]
\[ 2x - 2 = -22 \]
\[ 2x - 2 + 2 = -22 + 2 \ \Rightarrow\ 2x = -20 \]
\[ \frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10 \]
\[ 2\cdot(-10) - 2 = -20 - 2 = -22 \checkmark \]

Trying values of x in 2x − 2 = −22

x	2x − 2	Equals -22?
-12	-26	no
-11	-24	no
-10	-22	yes
-9	-20	no
-8	-18	no

Questions

What is x in 2x − 2 = −22?

The solution of 2x − 2 = −22 is x = -10.

How do you solve 2x − 2 = −22?

Add 2 to both sides to get 2x = -20, then divide both sides by 2 to get x = -10.

How do I check the answer?

Replace x by -10: 2(-10) − 2 = -22, which is -22.

Solve 2x − 2 = −22

How to work it out

Trying values of x in 2x − 2 = −22

Questions

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