Solve 12x − 14 = 82

The solution of 12x − 14 = 82 is x = 8.

12x - 14 = 82\ \Rightarrow\ x = 8

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The lines y = 12x − 14 and y = 82 meet at x = 8. 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.
$12x - 14 = 82$
2
Add 14 to both sides:
$12x - 14 + 14 = 82 + 14 \ \Rightarrow\ 12x = 96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$12\cdot8 - 14 = 96 - 14 = 82 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 14 = 82\ \Rightarrow\ x = 8 \]
\[ 12x - 14 = 82 \]
\[ 12x - 14 + 14 = 82 + 14 \ \Rightarrow\ 12x = 96 \]
\[ \frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8 \]
\[ 12\cdot8 - 14 = 96 - 14 = 82 \checkmark \]

Trying values of x in 12x − 14 = 82

x	12x − 14	Equals 82?
6	58	no
7	70	no
8	82	yes
9	94	no
10	106	no

Questions

What is x in 12x − 14 = 82?

The solution of 12x − 14 = 82 is x = 8.

How do you solve 12x − 14 = 82?

Add 14 to both sides to get 12x = 96, then divide both sides by 12 to get x = 8.

How do I check the answer?

Replace x by 8: 12(8) − 14 = 82, which is 82.

Solve 12x − 14 = 82

How to work it out

Trying values of x in 12x − 14 = 82

Questions

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