Solve 12x − 6 = 210

The solution of 12x − 6 = 210 is x = 18.

12x - 6 = 210\ \Rightarrow\ x = 18

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

The lines y = 12x − 6 and y = 210 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.
$12x - 6 = 210$
2
Add 6 to both sides:
$12x - 6 + 6 = 210 + 6 \ \Rightarrow\ 12x = 216$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$12\cdot18 - 6 = 216 - 6 = 210 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 6 = 210\ \Rightarrow\ x = 18 \]
\[ 12x - 6 = 210 \]
\[ 12x - 6 + 6 = 210 + 6 \ \Rightarrow\ 12x = 216 \]
\[ \frac{12x}{12} = \frac{216}{12} \ \Rightarrow\ x = 18 \]
\[ 12\cdot18 - 6 = 216 - 6 = 210 \checkmark \]

Trying values of x in 12x − 6 = 210

x	12x − 6	Equals 210?
16	186	no
17	198	no
18	210	yes
19	222	no
20	234	no

Questions

What is x in 12x − 6 = 210?

The solution of 12x − 6 = 210 is x = 18.

How do you solve 12x − 6 = 210?

Add 6 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) − 6 = 210, which is 210.

Solve 12x − 6 = 210

How to work it out

Trying values of x in 12x − 6 = 210

Questions

Similar equations