Solve 12x − 14 = 226

The solution of 12x − 14 = 226 is x = 20.

12x - 14 = 226\ \Rightarrow\ x = 20

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The lines y = 12x − 14 and y = 226 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.
$12x - 14 = 226$
2
Add 14 to both sides:
$12x - 14 + 14 = 226 + 14 \ \Rightarrow\ 12x = 240$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$12\cdot20 - 14 = 240 - 14 = 226 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 14 = 226\ \Rightarrow\ x = 20 \]
\[ 12x - 14 = 226 \]
\[ 12x - 14 + 14 = 226 + 14 \ \Rightarrow\ 12x = 240 \]
\[ \frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20 \]
\[ 12\cdot20 - 14 = 240 - 14 = 226 \checkmark \]

Trying values of x in 12x − 14 = 226

x	12x − 14	Equals 226?
18	202	no
19	214	no
20	226	yes
21	238	no
22	250	no

Questions

What is x in 12x − 14 = 226?

The solution of 12x − 14 = 226 is x = 20.

How do you solve 12x − 14 = 226?

Add 14 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) − 14 = 226, which is 226.

Solve 12x − 14 = 226

How to work it out

Trying values of x in 12x − 14 = 226

Questions

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