Solve 9x − 12 = −75

The solution of 9x − 12 = −75 is x = -7.

9x - 12 = -75\ \Rightarrow\ x = -7

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The lines y = 9x − 12 and y = -75 meet at x = -7. 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.
$9x - 12 = -75$
2
Add 12 to both sides:
$9x - 12 + 12 = -75 + 12 \ \Rightarrow\ 9x = -63$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-63}{9} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$9\cdot(-7) - 12 = -63 - 12 = -75 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 12 = -75\ \Rightarrow\ x = -7 \]
\[ 9x - 12 = -75 \]
\[ 9x - 12 + 12 = -75 + 12 \ \Rightarrow\ 9x = -63 \]
\[ \frac{9x}{9} = \frac{-63}{9} \ \Rightarrow\ x = -7 \]
\[ 9\cdot(-7) - 12 = -63 - 12 = -75 \checkmark \]

Trying values of x in 9x − 12 = −75

x	9x − 12	Equals -75?
-9	-93	no
-8	-84	no
-7	-75	yes
-6	-66	no
-5	-57	no

Questions

What is x in 9x − 12 = −75?

The solution of 9x − 12 = −75 is x = -7.

How do you solve 9x − 12 = −75?

Add 12 to both sides to get 9x = -63, then divide both sides by 9 to get x = -7.

How do I check the answer?

Replace x by -7: 9(-7) − 12 = -75, which is -75.

Solve 9x − 12 = −75

How to work it out

Trying values of x in 9x − 12 = −75

Questions

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