Solve 12x − 12 = 84

The solution of 12x − 12 = 84 is x = 8.

12x - 12 = 84\ \Rightarrow\ x = 8

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The lines y = 12x − 12 and y = 84 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.
$12x - 12 = 84$
2
Add 12 to both sides:
$12x - 12 + 12 = 84 + 12 \ \Rightarrow\ 12x = 96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$12\cdot8 - 12 = 96 - 12 = 84 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 12 = 84\ \Rightarrow\ x = 8 \]
\[ 12x - 12 = 84 \]
\[ 12x - 12 + 12 = 84 + 12 \ \Rightarrow\ 12x = 96 \]
\[ \frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8 \]
\[ 12\cdot8 - 12 = 96 - 12 = 84 \checkmark \]

Trying values of x in 12x − 12 = 84

x	12x − 12	Equals 84?
6	60	no
7	72	no
8	84	yes
9	96	no
10	108	no

Questions

What is x in 12x − 12 = 84?

The solution of 12x − 12 = 84 is x = 8.

How do you solve 12x − 12 = 84?

Add 12 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) − 12 = 84, which is 84.

Solve 12x − 12 = 84

How to work it out

Trying values of x in 12x − 12 = 84

Questions

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