Solve 2x − 12 = −26

The solution of 2x − 12 = −26 is x = -7.

2x - 12 = -26\ \Rightarrow\ x = -7

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

The lines y = 2x − 12 and y = -26 meet at x = -7. 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.
$2x - 12 = -26$
2
Add 12 to both sides:
$2x - 12 + 12 = -26 + 12 \ \Rightarrow\ 2x = -14$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-14}{2} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$2\cdot(-7) - 12 = -14 - 12 = -26 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 12 = -26\ \Rightarrow\ x = -7 \]
\[ 2x - 12 = -26 \]
\[ 2x - 12 + 12 = -26 + 12 \ \Rightarrow\ 2x = -14 \]
\[ \frac{2x}{2} = \frac{-14}{2} \ \Rightarrow\ x = -7 \]
\[ 2\cdot(-7) - 12 = -14 - 12 = -26 \checkmark \]

Trying values of x in 2x − 12 = −26

x	2x − 12	Equals -26?
-9	-30	no
-8	-28	no
-7	-26	yes
-6	-24	no
-5	-22	no

Questions

What is x in 2x − 12 = −26?

The solution of 2x − 12 = −26 is x = -7.

How do you solve 2x − 12 = −26?

Add 12 to both sides to get 2x = -14, then divide both sides by 2 to get x = -7.

How do I check the answer?

Replace x by -7: 2(-7) − 12 = -26, which is -26.

Solve 2x − 12 = −26

How to work it out

Trying values of x in 2x − 12 = −26

Questions

Similar equations