Solve 9x − 12 = 141

The solution of 9x − 12 = 141 is x = 17.

9x - 12 = 141\ \Rightarrow\ x = 17

Explain it step by step in chat Make a short video of it

The lines y = 9x − 12 and y = 141 meet at x = 17. 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.
$9x - 12 = 141$
2
Add 12 to both sides:
$9x - 12 + 12 = 141 + 12 \ \Rightarrow\ 9x = 153$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$9\cdot17 - 12 = 153 - 12 = 141 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 12 = 141\ \Rightarrow\ x = 17 \]
\[ 9x - 12 = 141 \]
\[ 9x - 12 + 12 = 141 + 12 \ \Rightarrow\ 9x = 153 \]
\[ \frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17 \]
\[ 9\cdot17 - 12 = 153 - 12 = 141 \checkmark \]

Trying values of x in 9x − 12 = 141

x	9x − 12	Equals 141?
15	123	no
16	132	no
17	141	yes
18	150	no
19	159	no

Questions

What is x in 9x − 12 = 141?

The solution of 9x − 12 = 141 is x = 17.

How do you solve 9x − 12 = 141?

Add 12 to both sides to get 9x = 153, then divide both sides by 9 to get x = 17.

How do I check the answer?

Replace x by 17: 9(17) − 12 = 141, which is 141.

Solve 9x − 12 = 141

How to work it out

Trying values of x in 9x − 12 = 141

Questions

Similar equations