Solve 2x − 12 = −24

The solution of 2x − 12 = −24 is x = -6.

2x - 12 = -24\ \Rightarrow\ x = -6

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

The lines y = 2x − 12 and y = -24 meet at x = -6. 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.
$2x - 12 = -24$
2
Add 12 to both sides:
$2x - 12 + 12 = -24 + 12 \ \Rightarrow\ 2x = -12$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-12}{2} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$2\cdot(-6) - 12 = -12 - 12 = -24 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 12 = -24\ \Rightarrow\ x = -6 \]
\[ 2x - 12 = -24 \]
\[ 2x - 12 + 12 = -24 + 12 \ \Rightarrow\ 2x = -12 \]
\[ \frac{2x}{2} = \frac{-12}{2} \ \Rightarrow\ x = -6 \]
\[ 2\cdot(-6) - 12 = -12 - 12 = -24 \checkmark \]

Trying values of x in 2x − 12 = −24

x	2x − 12	Equals -24?
-8	-28	no
-7	-26	no
-6	-24	yes
-5	-22	no
-4	-20	no

Questions

What is x in 2x − 12 = −24?

The solution of 2x − 12 = −24 is x = -6.

How do you solve 2x − 12 = −24?

Add 12 to both sides to get 2x = -12, then divide both sides by 2 to get x = -6.

How do I check the answer?

Replace x by -6: 2(-6) − 12 = -24, which is -24.

Solve 2x − 12 = −24

How to work it out

Trying values of x in 2x − 12 = −24

Questions

Similar equations