Solve 2x − 12 = −10

The solution of 2x − 12 = −10 is x = 1.

2x - 12 = -10\ \Rightarrow\ x = 1

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

The lines y = 2x − 12 and y = -10 meet at x = 1. 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.
$2x - 12 = -10$
2
Add 12 to both sides:
$2x - 12 + 12 = -10 + 12 \ \Rightarrow\ 2x = 2$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{2}{2} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$2\cdot1 - 12 = 2 - 12 = -10 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 12 = -10\ \Rightarrow\ x = 1 \]
\[ 2x - 12 = -10 \]
\[ 2x - 12 + 12 = -10 + 12 \ \Rightarrow\ 2x = 2 \]
\[ \frac{2x}{2} = \frac{2}{2} \ \Rightarrow\ x = 1 \]
\[ 2\cdot1 - 12 = 2 - 12 = -10 \checkmark \]

Trying values of x in 2x − 12 = −10

x	2x − 12	Equals -10?
-1	-14	no
0	-12	no
1	-10	yes
2	-8	no
3	-6	no

Questions

What is x in 2x − 12 = −10?

The solution of 2x − 12 = −10 is x = 1.

How do you solve 2x − 12 = −10?

Add 12 to both sides to get 2x = 2, then divide both sides by 2 to get x = 1.

How do I check the answer?

Replace x by 1: 2(1) − 12 = -10, which is -10.

Solve 2x − 12 = −10

How to work it out

Trying values of x in 2x − 12 = −10

Questions

Similar equations