Solve 9x − 8 = −80

The solution of 9x − 8 = −80 is x = -8.

9x - 8 = -80\ \Rightarrow\ x = -8

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The lines y = 9x − 8 and y = -80 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.
$9x - 8 = -80$
2
Add 8 to both sides:
$9x - 8 + 8 = -80 + 8 \ \Rightarrow\ 9x = -72$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$9\cdot(-8) - 8 = -72 - 8 = -80 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 8 = -80\ \Rightarrow\ x = -8 \]
\[ 9x - 8 = -80 \]
\[ 9x - 8 + 8 = -80 + 8 \ \Rightarrow\ 9x = -72 \]
\[ \frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8 \]
\[ 9\cdot(-8) - 8 = -72 - 8 = -80 \checkmark \]

Trying values of x in 9x − 8 = −80

x	9x − 8	Equals -80?
-10	-98	no
-9	-89	no
-8	-80	yes
-7	-71	no
-6	-62	no

Questions

What is x in 9x − 8 = −80?

The solution of 9x − 8 = −80 is x = -8.

How do you solve 9x − 8 = −80?

Add 8 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) − 8 = -80, which is -80.

Solve 9x − 8 = −80

How to work it out

Trying values of x in 9x − 8 = −80

Questions

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