Solve 11x + 11 = −11

The solution of 11x + 11 = −11 is x = -2.

11x + 11 = -11\ \Rightarrow\ x = -2

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The lines y = 11x + 11 and y = -11 meet at x = -2. 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.
$11x + 11 = -11$
2
Subtract 11 from both sides:
$11x + 11 - 11 = -11 - 11 \ \Rightarrow\ 11x = -22$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$11\cdot(-2) + 11 = -22 + 11 = -11 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 11 = -11\ \Rightarrow\ x = -2 \]
\[ 11x + 11 = -11 \]
\[ 11x + 11 - 11 = -11 - 11 \ \Rightarrow\ 11x = -22 \]
\[ \frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2 \]
\[ 11\cdot(-2) + 11 = -22 + 11 = -11 \checkmark \]

Trying values of x in 11x + 11 = −11

x	11x + 11	Equals -11?
-4	-33	no
-3	-22	no
-2	-11	yes
-1	0	no
0	11	no

Questions

What is x in 11x + 11 = −11?

The solution of 11x + 11 = −11 is x = -2.

How do you solve 11x + 11 = −11?

Subtract 11 from both sides to get 11x = -22, then divide both sides by 11 to get x = -2.

How do I check the answer?

Replace x by -2: 11(-2) + 11 = -11, which is -11.

Solve 11x + 11 = −11

How to work it out

Trying values of x in 11x + 11 = −11

Questions

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