Solve 9x − 12 = −48

The solution of 9x − 12 = −48 is x = -4.

9x - 12 = -48\ \Rightarrow\ x = -4

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The lines y = 9x − 12 and y = -48 meet at x = -4. 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.
$9x - 12 = -48$
2
Add 12 to both sides:
$9x - 12 + 12 = -48 + 12 \ \Rightarrow\ 9x = -36$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-36}{9} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$9\cdot(-4) - 12 = -36 - 12 = -48 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 12 = -48\ \Rightarrow\ x = -4 \]
\[ 9x - 12 = -48 \]
\[ 9x - 12 + 12 = -48 + 12 \ \Rightarrow\ 9x = -36 \]
\[ \frac{9x}{9} = \frac{-36}{9} \ \Rightarrow\ x = -4 \]
\[ 9\cdot(-4) - 12 = -36 - 12 = -48 \checkmark \]

Trying values of x in 9x − 12 = −48

x	9x − 12	Equals -48?
-6	-66	no
-5	-57	no
-4	-48	yes
-3	-39	no
-2	-30	no

Questions

What is x in 9x − 12 = −48?

The solution of 9x − 12 = −48 is x = -4.

How do you solve 9x − 12 = −48?

Add 12 to both sides to get 9x = -36, then divide both sides by 9 to get x = -4.

How do I check the answer?

Replace x by -4: 9(-4) − 12 = -48, which is -48.

Solve 9x − 12 = −48

How to work it out

Trying values of x in 9x − 12 = −48

Questions

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