Solve 9x − 3 = −75

The solution of 9x − 3 = −75 is x = -8.

9x - 3 = -75\ \Rightarrow\ x = -8

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The lines y = 9x − 3 and y = -75 meet at x = -8. 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.
$9x - 3 = -75$
2
Add 3 to both sides:
$9x - 3 + 3 = -75 + 3 \ \Rightarrow\ 9x = -72$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$9\cdot(-8) - 3 = -72 - 3 = -75 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 3 = -75\ \Rightarrow\ x = -8 \]
\[ 9x - 3 = -75 \]
\[ 9x - 3 + 3 = -75 + 3 \ \Rightarrow\ 9x = -72 \]
\[ \frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8 \]
\[ 9\cdot(-8) - 3 = -72 - 3 = -75 \checkmark \]

Trying values of x in 9x − 3 = −75

x	9x − 3	Equals -75?
-10	-93	no
-9	-84	no
-8	-75	yes
-7	-66	no
-6	-57	no

Questions

What is x in 9x − 3 = −75?

The solution of 9x − 3 = −75 is x = -8.

How do you solve 9x − 3 = −75?

Add 3 to both sides to get 9x = -72, then divide both sides by 9 to get x = -8.

How do I check the answer?

Replace x by -8: 9(-8) − 3 = -75, which is -75.

Solve 9x − 3 = −75

How to work it out

Trying values of x in 9x − 3 = −75

Questions

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