Solve 11x + 6 = −82

The solution of 11x + 6 = −82 is x = -8.

11x + 6 = -82\ \Rightarrow\ x = -8

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The lines y = 11x + 6 and y = -82 meet at x = -8. 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 addition, then the multiplication.
$11x + 6 = -82$
2
Subtract 6 from both sides:
$11x + 6 - 6 = -82 - 6 \ \Rightarrow\ 11x = -88$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$11\cdot(-8) + 6 = -88 + 6 = -82 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 6 = -82\ \Rightarrow\ x = -8 \]
\[ 11x + 6 = -82 \]
\[ 11x + 6 - 6 = -82 - 6 \ \Rightarrow\ 11x = -88 \]
\[ \frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8 \]
\[ 11\cdot(-8) + 6 = -88 + 6 = -82 \checkmark \]

Trying values of x in 11x + 6 = −82

x	11x + 6	Equals -82?
-10	-104	no
-9	-93	no
-8	-82	yes
-7	-71	no
-6	-60	no

Questions

What is x in 11x + 6 = −82?

The solution of 11x + 6 = −82 is x = -8.

How do you solve 11x + 6 = −82?

Subtract 6 from both sides to get 11x = -88, then divide both sides by 11 to get x = -8.

How do I check the answer?

Replace x by -8: 11(-8) + 6 = -82, which is -82.

Solve 11x + 6 = −82

How to work it out

Trying values of x in 11x + 6 = −82

Questions

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