Solve 9x − 12 = 132

The solution of 9x − 12 = 132 is x = 16.

9x - 12 = 132\ \Rightarrow\ x = 16

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The lines y = 9x − 12 and y = 132 meet at x = 16. 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.
$9x - 12 = 132$
2
Add 12 to both sides:
$9x - 12 + 12 = 132 + 12 \ \Rightarrow\ 9x = 144$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$9\cdot16 - 12 = 144 - 12 = 132 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 12 = 132\ \Rightarrow\ x = 16 \]
\[ 9x - 12 = 132 \]
\[ 9x - 12 + 12 = 132 + 12 \ \Rightarrow\ 9x = 144 \]
\[ \frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16 \]
\[ 9\cdot16 - 12 = 144 - 12 = 132 \checkmark \]

Trying values of x in 9x − 12 = 132

x	9x − 12	Equals 132?
14	114	no
15	123	no
16	132	yes
17	141	no
18	150	no

Questions

What is x in 9x − 12 = 132?

The solution of 9x − 12 = 132 is x = 16.

How do you solve 9x − 12 = 132?

Add 12 to both sides to get 9x = 144, then divide both sides by 9 to get x = 16.

How do I check the answer?

Replace x by 16: 9(16) − 12 = 132, which is 132.

Solve 9x − 12 = 132

How to work it out

Trying values of x in 9x − 12 = 132

Questions

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