Solve 11x − 6 = −17

The solution of 11x − 6 = −17 is x = -1.

11x - 6 = -17\ \Rightarrow\ x = -1

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The lines y = 11x − 6 and y = -17 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 subtraction, then the multiplication.
$11x - 6 = -17$
2
Add 6 to both sides:
$11x - 6 + 6 = -17 + 6 \ \Rightarrow\ 11x = -11$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$11\cdot(-1) - 6 = -11 - 6 = -17 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 6 = -17\ \Rightarrow\ x = -1 \]
\[ 11x - 6 = -17 \]
\[ 11x - 6 + 6 = -17 + 6 \ \Rightarrow\ 11x = -11 \]
\[ \frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1 \]
\[ 11\cdot(-1) - 6 = -11 - 6 = -17 \checkmark \]

Trying values of x in 11x − 6 = −17

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

Questions

What is x in 11x − 6 = −17?

The solution of 11x − 6 = −17 is x = -1.

How do you solve 11x − 6 = −17?

Add 6 to 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) − 6 = -17, which is -17.

Solve 11x − 6 = −17

How to work it out

Trying values of x in 11x − 6 = −17

Questions

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