Solve 9x − 6 = −78

The solution of 9x − 6 = −78 is x = -8.

9x - 6 = -78\ \Rightarrow\ x = -8

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The lines y = 9x − 6 and y = -78 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.
$9x - 6 = -78$
2
Add 6 to both sides:
$9x - 6 + 6 = -78 + 6 \ \Rightarrow\ 9x = -72$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$9\cdot(-8) - 6 = -72 - 6 = -78 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 6 = -78\ \Rightarrow\ x = -8 \]
\[ 9x - 6 = -78 \]
\[ 9x - 6 + 6 = -78 + 6 \ \Rightarrow\ 9x = -72 \]
\[ \frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8 \]
\[ 9\cdot(-8) - 6 = -72 - 6 = -78 \checkmark \]

Trying values of x in 9x − 6 = −78

x	9x − 6	Equals -78?
-10	-96	no
-9	-87	no
-8	-78	yes
-7	-69	no
-6	-60	no

Questions

What is x in 9x − 6 = −78?

The solution of 9x − 6 = −78 is x = -8.

How do you solve 9x − 6 = −78?

Add 6 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) − 6 = -78, which is -78.

Solve 9x − 6 = −78

How to work it out

Trying values of x in 9x − 6 = −78

Questions

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