Solve 11x − 5 = −82

The solution of 11x − 5 = −82 is x = -7.

11x - 5 = -82\ \Rightarrow\ x = -7

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The lines y = 11x − 5 and y = -82 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.
$11x - 5 = -82$
2
Add 5 to both sides:
$11x - 5 + 5 = -82 + 5 \ \Rightarrow\ 11x = -77$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$11\cdot(-7) - 5 = -77 - 5 = -82 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 5 = -82\ \Rightarrow\ x = -7 \]
\[ 11x - 5 = -82 \]
\[ 11x - 5 + 5 = -82 + 5 \ \Rightarrow\ 11x = -77 \]
\[ \frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7 \]
\[ 11\cdot(-7) - 5 = -77 - 5 = -82 \checkmark \]

Trying values of x in 11x − 5 = −82

x	11x − 5	Equals -82?
-9	-104	no
-8	-93	no
-7	-82	yes
-6	-71	no
-5	-60	no

Questions

What is x in 11x − 5 = −82?

The solution of 11x − 5 = −82 is x = -7.

How do you solve 11x − 5 = −82?

Add 5 to both sides to get 11x = -77, then divide both sides by 11 to get x = -7.

How do I check the answer?

Replace x by -7: 11(-7) − 5 = -82, which is -82.

Solve 11x − 5 = −82

How to work it out

Trying values of x in 11x − 5 = −82

Questions

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