Solve 9x − 12 = 96

The solution of 9x − 12 = 96 is x = 12.

9x - 12 = 96\ \Rightarrow\ x = 12

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The lines y = 9x − 12 and y = 96 meet at x = 12. 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.
$9x - 12 = 96$
2
Add 12 to both sides:
$9x - 12 + 12 = 96 + 12 \ \Rightarrow\ 9x = 108$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{108}{9} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$9\cdot12 - 12 = 108 - 12 = 96 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 12 = 96\ \Rightarrow\ x = 12 \]
\[ 9x - 12 = 96 \]
\[ 9x - 12 + 12 = 96 + 12 \ \Rightarrow\ 9x = 108 \]
\[ \frac{9x}{9} = \frac{108}{9} \ \Rightarrow\ x = 12 \]
\[ 9\cdot12 - 12 = 108 - 12 = 96 \checkmark \]

Trying values of x in 9x − 12 = 96

x	9x − 12	Equals 96?
10	78	no
11	87	no
12	96	yes
13	105	no
14	114	no

Questions

What is x in 9x − 12 = 96?

The solution of 9x − 12 = 96 is x = 12.

How do you solve 9x − 12 = 96?

Add 12 to both sides to get 9x = 108, then divide both sides by 9 to get x = 12.

How do I check the answer?

Replace x by 12: 9(12) − 12 = 96, which is 96.

Solve 9x − 12 = 96

How to work it out

Trying values of x in 9x − 12 = 96

Questions

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