Solve 2x − 14 = −22

The solution of 2x − 14 = −22 is x = -4.

2x - 14 = -22\ \Rightarrow\ x = -4

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The lines y = 2x − 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.
$2x - 14 = -22$
2
Add 14 to both sides:
$2x - 14 + 14 = -22 + 14 \ \Rightarrow\ 2x = -8$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-8}{2} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$2\cdot(-4) - 14 = -8 - 14 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 14 = -22\ \Rightarrow\ x = -4 \]
\[ 2x - 14 = -22 \]
\[ 2x - 14 + 14 = -22 + 14 \ \Rightarrow\ 2x = -8 \]
\[ \frac{2x}{2} = \frac{-8}{2} \ \Rightarrow\ x = -4 \]
\[ 2\cdot(-4) - 14 = -8 - 14 = -22 \checkmark \]

Trying values of x in 2x − 14 = −22

x	2x − 14	Equals -22?
-6	-26	no
-5	-24	no
-4	-22	yes
-3	-20	no
-2	-18	no

Questions

What is x in 2x − 14 = −22?

The solution of 2x − 14 = −22 is x = -4.

How do you solve 2x − 14 = −22?

Add 14 to both sides to get 2x = -8, then divide both sides by 2 to get x = -4.

How do I check the answer?

Replace x by -4: 2(-4) − 14 = -22, which is -22.

Solve 2x − 14 = −22

How to work it out

Trying values of x in 2x − 14 = −22

Questions

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