Solve 6x − 9 = −45

The solution of 6x − 9 = −45 is x = -6.

6x - 9 = -45\ \Rightarrow\ x = -6

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The lines y = 6x − 9 and y = -45 meet at x = -6. 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.
$6x - 9 = -45$
2
Add 9 to both sides:
$6x - 9 + 9 = -45 + 9 \ \Rightarrow\ 6x = -36$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-36}{6} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$6\cdot(-6) - 9 = -36 - 9 = -45 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 9 = -45\ \Rightarrow\ x = -6 \]
\[ 6x - 9 = -45 \]
\[ 6x - 9 + 9 = -45 + 9 \ \Rightarrow\ 6x = -36 \]
\[ \frac{6x}{6} = \frac{-36}{6} \ \Rightarrow\ x = -6 \]
\[ 6\cdot(-6) - 9 = -36 - 9 = -45 \checkmark \]

Trying values of x in 6x − 9 = −45

x	6x − 9	Equals -45?
-8	-57	no
-7	-51	no
-6	-45	yes
-5	-39	no
-4	-33	no

Questions

What is x in 6x − 9 = −45?

The solution of 6x − 9 = −45 is x = -6.

How do you solve 6x − 9 = −45?

Add 9 to both sides to get 6x = -36, then divide both sides by 6 to get x = -6.

How do I check the answer?

Replace x by -6: 6(-6) − 9 = -45, which is -45.

Solve 6x − 9 = −45

How to work it out

Trying values of x in 6x − 9 = −45

Questions

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