Solve 11x − 4 = −92

The solution of 11x − 4 = −92 is x = -8.

11x - 4 = -92\ \Rightarrow\ x = -8

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The lines y = 11x − 4 and y = -92 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 subtraction, then the multiplication.
$11x - 4 = -92$
2
Add 4 to both sides:
$11x - 4 + 4 = -92 + 4 \ \Rightarrow\ 11x = -88$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$11\cdot(-8) - 4 = -88 - 4 = -92 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 4 = -92\ \Rightarrow\ x = -8 \]
\[ 11x - 4 = -92 \]
\[ 11x - 4 + 4 = -92 + 4 \ \Rightarrow\ 11x = -88 \]
\[ \frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8 \]
\[ 11\cdot(-8) - 4 = -88 - 4 = -92 \checkmark \]

Trying values of x in 11x − 4 = −92

x	11x − 4	Equals -92?
-10	-114	no
-9	-103	no
-8	-92	yes
-7	-81	no
-6	-70	no

Questions

What is x in 11x − 4 = −92?

The solution of 11x − 4 = −92 is x = -8.

How do you solve 11x − 4 = −92?

Add 4 to 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) − 4 = -92, which is -92.

Solve 11x − 4 = −92

How to work it out

Trying values of x in 11x − 4 = −92

Questions

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