Solve 6x − 9 = −27

The solution of 6x − 9 = −27 is x = -3.

6x - 9 = -27\ \Rightarrow\ x = -3

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The lines y = 6x − 9 and y = -27 meet at x = -3. 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.
$6x - 9 = -27$
2
Add 9 to both sides:
$6x - 9 + 9 = -27 + 9 \ \Rightarrow\ 6x = -18$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-18}{6} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$6\cdot(-3) - 9 = -18 - 9 = -27 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 9 = -27\ \Rightarrow\ x = -3 \]
\[ 6x - 9 = -27 \]
\[ 6x - 9 + 9 = -27 + 9 \ \Rightarrow\ 6x = -18 \]
\[ \frac{6x}{6} = \frac{-18}{6} \ \Rightarrow\ x = -3 \]
\[ 6\cdot(-3) - 9 = -18 - 9 = -27 \checkmark \]

Trying values of x in 6x − 9 = −27

x	6x − 9	Equals -27?
-5	-39	no
-4	-33	no
-3	-27	yes
-2	-21	no
-1	-15	no

Questions

What is x in 6x − 9 = −27?

The solution of 6x − 9 = −27 is x = -3.

How do you solve 6x − 9 = −27?

Add 9 to both sides to get 6x = -18, then divide both sides by 6 to get x = -3.

How do I check the answer?

Replace x by -3: 6(-3) − 9 = -27, which is -27.

Solve 6x − 9 = −27

How to work it out

Trying values of x in 6x − 9 = −27

Questions

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