Solve 11x + 6 = −104

The solution of 11x + 6 = −104 is x = -10.

11x + 6 = -104\ \Rightarrow\ x = -10

Explain it step by step in chat Make a short video of it

The lines y = 11x + 6 and y = -104 meet at x = -10. 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.
$11x + 6 = -104$
2
Subtract 6 from both sides:
$11x + 6 - 6 = -104 - 6 \ \Rightarrow\ 11x = -110$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$11\cdot(-10) + 6 = -110 + 6 = -104 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 6 = -104\ \Rightarrow\ x = -10 \]
\[ 11x + 6 = -104 \]
\[ 11x + 6 - 6 = -104 - 6 \ \Rightarrow\ 11x = -110 \]
\[ \frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10 \]
\[ 11\cdot(-10) + 6 = -110 + 6 = -104 \checkmark \]

Trying values of x in 11x + 6 = −104

x	11x + 6	Equals -104?
-12	-126	no
-11	-115	no
-10	-104	yes
-9	-93	no
-8	-82	no

Questions

What is x in 11x + 6 = −104?

The solution of 11x + 6 = −104 is x = -10.

How do you solve 11x + 6 = −104?

Subtract 6 from both sides to get 11x = -110, then divide both sides by 11 to get x = -10.

How do I check the answer?

Replace x by -10: 11(-10) + 6 = -104, which is -104.

Solve 11x + 6 = −104

How to work it out

Trying values of x in 11x + 6 = −104

Questions

Similar equations