Solve 12x − 10 = 218

The solution of 12x − 10 = 218 is x = 19.

12x - 10 = 218\ \Rightarrow\ x = 19

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The lines y = 12x − 10 and y = 218 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.
$12x - 10 = 218$
2
Add 10 to both sides:
$12x - 10 + 10 = 218 + 10 \ \Rightarrow\ 12x = 228$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$12\cdot19 - 10 = 228 - 10 = 218 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 10 = 218\ \Rightarrow\ x = 19 \]
\[ 12x - 10 = 218 \]
\[ 12x - 10 + 10 = 218 + 10 \ \Rightarrow\ 12x = 228 \]
\[ \frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19 \]
\[ 12\cdot19 - 10 = 228 - 10 = 218 \checkmark \]

Trying values of x in 12x − 10 = 218

x	12x − 10	Equals 218?
17	194	no
18	206	no
19	218	yes
20	230	no
21	242	no

Questions

What is x in 12x − 10 = 218?

The solution of 12x − 10 = 218 is x = 19.

How do you solve 12x − 10 = 218?

Add 10 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) − 10 = 218, which is 218.

Solve 12x − 10 = 218

How to work it out

Trying values of x in 12x − 10 = 218

Questions

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