Solve 2x − 14 = −20

The solution of 2x − 14 = −20 is x = -3.

2x - 14 = -20\ \Rightarrow\ x = -3

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The lines y = 2x − 14 and y = -20 meet at x = -3. 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.
$2x - 14 = -20$
2
Add 14 to both sides:
$2x - 14 + 14 = -20 + 14 \ \Rightarrow\ 2x = -6$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$2\cdot(-3) - 14 = -6 - 14 = -20 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 14 = -20\ \Rightarrow\ x = -3 \]
\[ 2x - 14 = -20 \]
\[ 2x - 14 + 14 = -20 + 14 \ \Rightarrow\ 2x = -6 \]
\[ \frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3 \]
\[ 2\cdot(-3) - 14 = -6 - 14 = -20 \checkmark \]

Trying values of x in 2x − 14 = −20

x	2x − 14	Equals -20?
-5	-24	no
-4	-22	no
-3	-20	yes
-2	-18	no
-1	-16	no

Questions

What is x in 2x − 14 = −20?

The solution of 2x − 14 = −20 is x = -3.

How do you solve 2x − 14 = −20?

Add 14 to both sides to get 2x = -6, then divide both sides by 2 to get x = -3.

How do I check the answer?

Replace x by -3: 2(-3) − 14 = -20, which is -20.

Solve 2x − 14 = −20

How to work it out

Trying values of x in 2x − 14 = −20

Questions

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