Solve 12x − 4 = 212

The solution of 12x − 4 = 212 is x = 18.

12x - 4 = 212\ \Rightarrow\ x = 18

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

The lines y = 12x − 4 and y = 212 meet at x = 18. 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.
$12x - 4 = 212$
2
Add 4 to both sides:
$12x - 4 + 4 = 212 + 4 \ \Rightarrow\ 12x = 216$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$12\cdot18 - 4 = 216 - 4 = 212 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 4 = 212\ \Rightarrow\ x = 18 \]
\[ 12x - 4 = 212 \]
\[ 12x - 4 + 4 = 212 + 4 \ \Rightarrow\ 12x = 216 \]
\[ \frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18 \]
\[ 12\cdot18 - 4 = 216 - 4 = 212 \checkmark \]

Trying values of x in 12x − 4 = 212

x	12x − 4	Equals 212?
16	188	no
17	200	no
18	212	yes
19	224	no
20	236	no

Questions

What is x in 12x − 4 = 212?

The solution of 12x − 4 = 212 is x = 18.

How do you solve 12x − 4 = 212?

Add 4 to both sides to get 12x = 216, then divide both sides by 12 to get x = 18.

How do I check the answer?

Replace x by 18: 12(18) − 4 = 212, which is 212.

Solve 12x − 4 = 212

How to work it out

Trying values of x in 12x − 4 = 212

Questions

Similar equations