Solve 11x − 12 = −100

The solution of 11x − 12 = −100 is x = -8.

11x - 12 = -100\ \Rightarrow\ x = -8

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The lines y = 11x − 12 and y = -100 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.
$11x - 12 = -100$
2
Add 12 to both sides:
$11x - 12 + 12 = -100 + 12 \ \Rightarrow\ 11x = -88$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$11\cdot(-8) - 12 = -88 - 12 = -100 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 12 = -100\ \Rightarrow\ x = -8 \]
\[ 11x - 12 = -100 \]
\[ 11x - 12 + 12 = -100 + 12 \ \Rightarrow\ 11x = -88 \]
\[ \frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8 \]
\[ 11\cdot(-8) - 12 = -88 - 12 = -100 \checkmark \]

Trying values of x in 11x − 12 = −100

x	11x − 12	Equals -100?
-10	-122	no
-9	-111	no
-8	-100	yes
-7	-89	no
-6	-78	no

Questions

What is x in 11x − 12 = −100?

The solution of 11x − 12 = −100 is x = -8.

How do you solve 11x − 12 = −100?

Add 12 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) − 12 = -100, which is -100.

Solve 11x − 12 = −100

How to work it out

Trying values of x in 11x − 12 = −100

Questions

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