Solve 12x − 14 = 106

The solution of 12x − 14 = 106 is x = 10.

12x - 14 = 106\ \Rightarrow\ x = 10

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The lines y = 12x − 14 and y = 106 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.
$12x - 14 = 106$
2
Add 14 to both sides:
$12x - 14 + 14 = 106 + 14 \ \Rightarrow\ 12x = 120$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$12\cdot10 - 14 = 120 - 14 = 106 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 14 = 106\ \Rightarrow\ x = 10 \]
\[ 12x - 14 = 106 \]
\[ 12x - 14 + 14 = 106 + 14 \ \Rightarrow\ 12x = 120 \]
\[ \frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10 \]
\[ 12\cdot10 - 14 = 120 - 14 = 106 \checkmark \]

Trying values of x in 12x − 14 = 106

x	12x − 14	Equals 106?
8	82	no
9	94	no
10	106	yes
11	118	no
12	130	no

Questions

What is x in 12x − 14 = 106?

The solution of 12x − 14 = 106 is x = 10.

How do you solve 12x − 14 = 106?

Add 14 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) − 14 = 106, which is 106.

Solve 12x − 14 = 106

How to work it out

Trying values of x in 12x − 14 = 106

Questions

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