Solve 11x − 6 = −105

The solution of 11x − 6 = −105 is x = -9.

11x - 6 = -105\ \Rightarrow\ x = -9

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The lines y = 11x − 6 and y = -105 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.
$11x - 6 = -105$
2
Add 6 to both sides:
$11x - 6 + 6 = -105 + 6 \ \Rightarrow\ 11x = -99$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-99}{11} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$11\cdot(-9) - 6 = -99 - 6 = -105 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 6 = -105\ \Rightarrow\ x = -9 \]
\[ 11x - 6 = -105 \]
\[ 11x - 6 + 6 = -105 + 6 \ \Rightarrow\ 11x = -99 \]
\[ \frac{11x}{11} = \frac{-99}{11} \ \Rightarrow\ x = -9 \]
\[ 11\cdot(-9) - 6 = -99 - 6 = -105 \checkmark \]

Trying values of x in 11x − 6 = −105

x	11x − 6	Equals -105?
-11	-127	no
-10	-116	no
-9	-105	yes
-8	-94	no
-7	-83	no

Questions

What is x in 11x − 6 = −105?

The solution of 11x − 6 = −105 is x = -9.

How do you solve 11x − 6 = −105?

Add 6 to both sides to get 11x = -99, then divide both sides by 11 to get x = -9.

How do I check the answer?

Replace x by -9: 11(-9) − 6 = -105, which is -105.

Solve 11x − 6 = −105

How to work it out

Trying values of x in 11x − 6 = −105

Questions

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