Solve 2x − 8 = −14

The solution of 2x − 8 = −14 is x = -3.

2x - 8 = -14\ \Rightarrow\ x = -3

Explain it step by step in chat Make a short video of it

The lines y = 2x − 8 and y = -14 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.
$2x - 8 = -14$
2
Add 8 to both sides:
$2x - 8 + 8 = -14 + 8 \ \Rightarrow\ 2x = -6$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$2\cdot(-3) - 8 = -6 - 8 = -14 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 8 = -14\ \Rightarrow\ x = -3 \]
\[ 2x - 8 = -14 \]
\[ 2x - 8 + 8 = -14 + 8 \ \Rightarrow\ 2x = -6 \]
\[ \frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3 \]
\[ 2\cdot(-3) - 8 = -6 - 8 = -14 \checkmark \]

Trying values of x in 2x − 8 = −14

x	2x − 8	Equals -14?
-5	-18	no
-4	-16	no
-3	-14	yes
-2	-12	no
-1	-10	no

Questions

What is x in 2x − 8 = −14?

The solution of 2x − 8 = −14 is x = -3.

How do you solve 2x − 8 = −14?

Add 8 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) − 8 = -14, which is -14.

Solve 2x − 8 = −14

How to work it out

Trying values of x in 2x − 8 = −14

Questions

Similar equations