Solve 12x − 2 = 226

The solution of 12x − 2 = 226 is x = 19.

12x - 2 = 226\ \Rightarrow\ x = 19

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

The lines y = 12x − 2 and y = 226 meet at x = 19. 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.
$12x - 2 = 226$
2
Add 2 to both sides:
$12x - 2 + 2 = 226 + 2 \ \Rightarrow\ 12x = 228$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$12\cdot19 - 2 = 228 - 2 = 226 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 2 = 226\ \Rightarrow\ x = 19 \]
\[ 12x - 2 = 226 \]
\[ 12x - 2 + 2 = 226 + 2 \ \Rightarrow\ 12x = 228 \]
\[ \frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19 \]
\[ 12\cdot19 - 2 = 228 - 2 = 226 \checkmark \]

Trying values of x in 12x − 2 = 226

x	12x − 2	Equals 226?
17	202	no
18	214	no
19	226	yes
20	238	no
21	250	no

Questions

What is x in 12x − 2 = 226?

The solution of 12x − 2 = 226 is x = 19.

How do you solve 12x − 2 = 226?

Add 2 to both sides to get 12x = 228, then divide both sides by 12 to get x = 19.

How do I check the answer?

Replace x by 19: 12(19) − 2 = 226, which is 226.

Solve 12x − 2 = 226

How to work it out

Trying values of x in 12x − 2 = 226

Questions

Similar equations