Solve 6x − 11 = −17

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 6x − 11 = −17

x	6x − 11	Equals -17?
-3	-29	no
-2	-23	no
-1	-17	yes
0	-11	no
1	-5	no

Questions

What is x in 6x − 11 = −17?

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

How do you solve 6x − 11 = −17?

Add 11 to both sides to get 6x = -6, then divide both sides by 6 to get x = -1.

How do I check the answer?

Replace x by -1: 6(-1) − 11 = -17, which is -17.

Solve 6x − 11 = −17

How to work it out

Trying values of x in 6x − 11 = −17

Questions

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