Solve 12x − 11 = 193

The solution of 12x − 11 = 193 is x = 17.

12x - 11 = 193\ \Rightarrow\ x = 17

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The lines y = 12x − 11 and y = 193 meet at x = 17. 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.
$12x - 11 = 193$
2
Add 11 to both sides:
$12x - 11 + 11 = 193 + 11 \ \Rightarrow\ 12x = 204$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$12\cdot17 - 11 = 204 - 11 = 193 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 11 = 193\ \Rightarrow\ x = 17 \]
\[ 12x - 11 = 193 \]
\[ 12x - 11 + 11 = 193 + 11 \ \Rightarrow\ 12x = 204 \]
\[ \frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17 \]
\[ 12\cdot17 - 11 = 204 - 11 = 193 \checkmark \]

Trying values of x in 12x − 11 = 193

x	12x − 11	Equals 193?
15	169	no
16	181	no
17	193	yes
18	205	no
19	217	no

Questions

What is x in 12x − 11 = 193?

The solution of 12x − 11 = 193 is x = 17.

How do you solve 12x − 11 = 193?

Add 11 to both sides to get 12x = 204, then divide both sides by 12 to get x = 17.

How do I check the answer?

Replace x by 17: 12(17) − 11 = 193, which is 193.

Solve 12x − 11 = 193

How to work it out

Trying values of x in 12x − 11 = 193

Questions

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