Solve 11x − 7 = −106

The solution of 11x − 7 = −106 is x = -9.

11x - 7 = -106\ \Rightarrow\ x = -9

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The lines y = 11x − 7 and y = -106 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.
$11x - 7 = -106$
2
Add 7 to both sides:
$11x - 7 + 7 = -106 + 7 \ \Rightarrow\ 11x = -99$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-99}{11} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$11\cdot(-9) - 7 = -99 - 7 = -106 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 7 = -106\ \Rightarrow\ x = -9 \]
\[ 11x - 7 = -106 \]
\[ 11x - 7 + 7 = -106 + 7 \ \Rightarrow\ 11x = -99 \]
\[ \frac{11x}{11} = \frac{-99}{11} \ \Rightarrow\ x = -9 \]
\[ 11\cdot(-9) - 7 = -99 - 7 = -106 \checkmark \]

Trying values of x in 11x − 7 = −106

x	11x − 7	Equals -106?
-11	-128	no
-10	-117	no
-9	-106	yes
-8	-95	no
-7	-84	no

Questions

What is x in 11x − 7 = −106?

The solution of 11x − 7 = −106 is x = -9.

How do you solve 11x − 7 = −106?

Add 7 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) − 7 = -106, which is -106.

Solve 11x − 7 = −106

How to work it out

Trying values of x in 11x − 7 = −106

Questions

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