Solve 12x − 10 = 122

The solution of 12x − 10 = 122 is x = 11.

12x - 10 = 122\ \Rightarrow\ x = 11

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The lines y = 12x − 10 and y = 122 meet at x = 11. 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.
$12x - 10 = 122$
2
Add 10 to both sides:
$12x - 10 + 10 = 122 + 10 \ \Rightarrow\ 12x = 132$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{132}{12} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$12\cdot11 - 10 = 132 - 10 = 122 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 10 = 122\ \Rightarrow\ x = 11 \]
\[ 12x - 10 = 122 \]
\[ 12x - 10 + 10 = 122 + 10 \ \Rightarrow\ 12x = 132 \]
\[ \frac{12x}{12} = \frac{132}{12} \ \Rightarrow\ x = 11 \]
\[ 12\cdot11 - 10 = 132 - 10 = 122 \checkmark \]

Trying values of x in 12x − 10 = 122

x	12x − 10	Equals 122?
9	98	no
10	110	no
11	122	yes
12	134	no
13	146	no

Questions

What is x in 12x − 10 = 122?

The solution of 12x − 10 = 122 is x = 11.

How do you solve 12x − 10 = 122?

Add 10 to both sides to get 12x = 132, then divide both sides by 12 to get x = 11.

How do I check the answer?

Replace x by 11: 12(11) − 10 = 122, which is 122.

Solve 12x − 10 = 122

How to work it out

Trying values of x in 12x − 10 = 122

Questions

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