Solve 12x − 13 = 107

The solution of 12x − 13 = 107 is x = 10.

12x - 13 = 107\ \Rightarrow\ x = 10

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The lines y = 12x − 13 and y = 107 meet at x = 10. 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.
$12x - 13 = 107$
2
Add 13 to both sides:
$12x - 13 + 13 = 107 + 13 \ \Rightarrow\ 12x = 120$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$12\cdot10 - 13 = 120 - 13 = 107 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 13 = 107\ \Rightarrow\ x = 10 \]
\[ 12x - 13 = 107 \]
\[ 12x - 13 + 13 = 107 + 13 \ \Rightarrow\ 12x = 120 \]
\[ \frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10 \]
\[ 12\cdot10 - 13 = 120 - 13 = 107 \checkmark \]

Trying values of x in 12x − 13 = 107

x	12x − 13	Equals 107?
8	83	no
9	95	no
10	107	yes
11	119	no
12	131	no

Questions

What is x in 12x − 13 = 107?

The solution of 12x − 13 = 107 is x = 10.

How do you solve 12x − 13 = 107?

Add 13 to both sides to get 12x = 120, then divide both sides by 12 to get x = 10.

How do I check the answer?

Replace x by 10: 12(10) − 13 = 107, which is 107.

Solve 12x − 13 = 107

How to work it out

Trying values of x in 12x − 13 = 107

Questions

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