Solve 11x + 5 = −6

The solution of 11x + 5 = −6 is x = -1.

11x + 5 = -6\ \Rightarrow\ x = -1

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The lines y = 11x + 5 and y = -6 meet at x = -1. 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.
$11x + 5 = -6$
2
Subtract 5 from both sides:
$11x + 5 - 5 = -6 - 5 \ \Rightarrow\ 11x = -11$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$11\cdot(-1) + 5 = -11 + 5 = -6 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 5 = -6\ \Rightarrow\ x = -1 \]
\[ 11x + 5 = -6 \]
\[ 11x + 5 - 5 = -6 - 5 \ \Rightarrow\ 11x = -11 \]
\[ \frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1 \]
\[ 11\cdot(-1) + 5 = -11 + 5 = -6 \checkmark \]

Trying values of x in 11x + 5 = −6

x	11x + 5	Equals -6?
-3	-28	no
-2	-17	no
-1	-6	yes
0	5	no
1	16	no

Questions

What is x in 11x + 5 = −6?

The solution of 11x + 5 = −6 is x = -1.

How do you solve 11x + 5 = −6?

Subtract 5 from both sides to get 11x = -11, then divide both sides by 11 to get x = -1.

How do I check the answer?

Replace x by -1: 11(-1) + 5 = -6, which is -6.

Solve 11x + 5 = −6

How to work it out

Trying values of x in 11x + 5 = −6

Questions

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