Solve 6x − 11 = −65

The solution of 6x − 11 = −65 is x = -9.

6x - 11 = -65\ \Rightarrow\ x = -9

Explain it step by step in chat Make a short video of it

The lines y = 6x − 11 and y = -65 meet at x = -9. 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.
$6x - 11 = -65$
2
Add 11 to both sides:
$6x - 11 + 11 = -65 + 11 \ \Rightarrow\ 6x = -54$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-54}{6} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$6\cdot(-9) - 11 = -54 - 11 = -65 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 11 = -65\ \Rightarrow\ x = -9 \]
\[ 6x - 11 = -65 \]
\[ 6x - 11 + 11 = -65 + 11 \ \Rightarrow\ 6x = -54 \]
\[ \frac{6x}{6} = \frac{-54}{6} \ \Rightarrow\ x = -9 \]
\[ 6\cdot(-9) - 11 = -54 - 11 = -65 \checkmark \]

Trying values of x in 6x − 11 = −65

x	6x − 11	Equals -65?
-11	-77	no
-10	-71	no
-9	-65	yes
-8	-59	no
-7	-53	no

Questions

What is x in 6x − 11 = −65?

The solution of 6x − 11 = −65 is x = -9.

How do you solve 6x − 11 = −65?

Add 11 to both sides to get 6x = -54, then divide both sides by 6 to get x = -9.

How do I check the answer?

Replace x by -9: 6(-9) − 11 = -65, which is -65.

Solve 6x − 11 = −65

How to work it out

Trying values of x in 6x − 11 = −65

Questions

Similar equations