Solve 6x − 9 = −51

The solution of 6x − 9 = −51 is x = -7.

6x - 9 = -51\ \Rightarrow\ x = -7

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The lines y = 6x − 9 and y = -51 meet at x = -7. 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.
$6x - 9 = -51$
2
Add 9 to both sides:
$6x - 9 + 9 = -51 + 9 \ \Rightarrow\ 6x = -42$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$6\cdot(-7) - 9 = -42 - 9 = -51 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 9 = -51\ \Rightarrow\ x = -7 \]
\[ 6x - 9 = -51 \]
\[ 6x - 9 + 9 = -51 + 9 \ \Rightarrow\ 6x = -42 \]
\[ \frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7 \]
\[ 6\cdot(-7) - 9 = -42 - 9 = -51 \checkmark \]

Trying values of x in 6x − 9 = −51

x	6x − 9	Equals -51?
-9	-63	no
-8	-57	no
-7	-51	yes
-6	-45	no
-5	-39	no

Questions

What is x in 6x − 9 = −51?

The solution of 6x − 9 = −51 is x = -7.

How do you solve 6x − 9 = −51?

Add 9 to both sides to get 6x = -42, then divide both sides by 6 to get x = -7.

How do I check the answer?

Replace x by -7: 6(-7) − 9 = -51, which is -51.

Solve 6x − 9 = −51

How to work it out

Trying values of x in 6x − 9 = −51

Questions

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