Solve 12x − 2 = 10

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

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 12x − 2 = 10

x	12x − 2	Equals 10?
-1	-14	no
0	-2	no
1	10	yes
2	22	no
3	34	no

Questions

What is x in 12x − 2 = 10?

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

How do you solve 12x − 2 = 10?

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

How do I check the answer?

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

Solve 12x − 2 = 10

How to work it out

Trying values of x in 12x − 2 = 10

Questions

Similar equations