Solve 11x + 5 = −17

The solution of 11x + 5 = −17 is x = -2.

11x + 5 = -17\ \Rightarrow\ x = -2

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The lines y = 11x + 5 and y = -17 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.
$11x + 5 = -17$
2
Subtract 5 from both sides:
$11x + 5 - 5 = -17 - 5 \ \Rightarrow\ 11x = -22$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$11\cdot(-2) + 5 = -22 + 5 = -17 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 5 = -17\ \Rightarrow\ x = -2 \]
\[ 11x + 5 = -17 \]
\[ 11x + 5 - 5 = -17 - 5 \ \Rightarrow\ 11x = -22 \]
\[ \frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2 \]
\[ 11\cdot(-2) + 5 = -22 + 5 = -17 \checkmark \]

Trying values of x in 11x + 5 = −17

x	11x + 5	Equals -17?
-4	-39	no
-3	-28	no
-2	-17	yes
-1	-6	no
0	5	no

Questions

What is x in 11x + 5 = −17?

The solution of 11x + 5 = −17 is x = -2.

How do you solve 11x + 5 = −17?

Subtract 5 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) + 5 = -17, which is -17.

Solve 11x + 5 = −17

How to work it out

Trying values of x in 11x + 5 = −17

Questions

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