Solve 12x − 11 = 229

The solution of 12x − 11 = 229 is x = 20.

12x - 11 = 229\ \Rightarrow\ x = 20

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The lines y = 12x − 11 and y = 229 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.
$12x - 11 = 229$
2
Add 11 to both sides:
$12x - 11 + 11 = 229 + 11 \ \Rightarrow\ 12x = 240$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$12\cdot20 - 11 = 240 - 11 = 229 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 11 = 229\ \Rightarrow\ x = 20 \]
\[ 12x - 11 = 229 \]
\[ 12x - 11 + 11 = 229 + 11 \ \Rightarrow\ 12x = 240 \]
\[ \frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20 \]
\[ 12\cdot20 - 11 = 240 - 11 = 229 \checkmark \]

Trying values of x in 12x − 11 = 229

x	12x − 11	Equals 229?
18	205	no
19	217	no
20	229	yes
21	241	no
22	253	no

Questions

What is x in 12x − 11 = 229?

The solution of 12x − 11 = 229 is x = 20.

How do you solve 12x − 11 = 229?

Add 11 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) − 11 = 229, which is 229.

Solve 12x − 11 = 229

How to work it out

Trying values of x in 12x − 11 = 229

Questions

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