Solve 12x − 10 = 230

The solution of 12x − 10 = 230 is x = 20.

12x - 10 = 230\ \Rightarrow\ x = 20

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The lines y = 12x − 10 and y = 230 meet at x = 20. 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.
$12x - 10 = 230$
2
Add 10 to both sides:
$12x - 10 + 10 = 230 + 10 \ \Rightarrow\ 12x = 240$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$12\cdot20 - 10 = 240 - 10 = 230 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 10 = 230\ \Rightarrow\ x = 20 \]
\[ 12x - 10 = 230 \]
\[ 12x - 10 + 10 = 230 + 10 \ \Rightarrow\ 12x = 240 \]
\[ \frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20 \]
\[ 12\cdot20 - 10 = 240 - 10 = 230 \checkmark \]

Trying values of x in 12x − 10 = 230

x	12x − 10	Equals 230?
18	206	no
19	218	no
20	230	yes
21	242	no
22	254	no

Questions

What is x in 12x − 10 = 230?

The solution of 12x − 10 = 230 is x = 20.

How do you solve 12x − 10 = 230?

Add 10 to both sides to get 12x = 240, then divide both sides by 12 to get x = 20.

How do I check the answer?

Replace x by 20: 12(20) − 10 = 230, which is 230.

Solve 12x − 10 = 230

How to work it out

Trying values of x in 12x − 10 = 230

Questions

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