Solve 11x + 11 = −66

The solution of 11x + 11 = −66 is x = -7.

11x + 11 = -66\ \Rightarrow\ x = -7

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The lines y = 11x + 11 and y = -66 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 addition, then the multiplication.
$11x + 11 = -66$
2
Subtract 11 from both sides:
$11x + 11 - 11 = -66 - 11 \ \Rightarrow\ 11x = -77$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$11\cdot(-7) + 11 = -77 + 11 = -66 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 11 = -66\ \Rightarrow\ x = -7 \]
\[ 11x + 11 = -66 \]
\[ 11x + 11 - 11 = -66 - 11 \ \Rightarrow\ 11x = -77 \]
\[ \frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7 \]
\[ 11\cdot(-7) + 11 = -77 + 11 = -66 \checkmark \]

Trying values of x in 11x + 11 = −66

x	11x + 11	Equals -66?
-9	-88	no
-8	-77	no
-7	-66	yes
-6	-55	no
-5	-44	no

Questions

What is x in 11x + 11 = −66?

The solution of 11x + 11 = −66 is x = -7.

How do you solve 11x + 11 = −66?

Subtract 11 from 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) + 11 = -66, which is -66.

Solve 11x + 11 = −66

How to work it out

Trying values of x in 11x + 11 = −66

Questions

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