Solve 11x + 5 = −105

The solution of 11x + 5 = −105 is x = -10.

11x + 5 = -105\ \Rightarrow\ x = -10

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The lines y = 11x + 5 and y = -105 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.
$11x + 5 = -105$
2
Subtract 5 from both sides:
$11x + 5 - 5 = -105 - 5 \ \Rightarrow\ 11x = -110$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$11\cdot(-10) + 5 = -110 + 5 = -105 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 5 = -105\ \Rightarrow\ x = -10 \]
\[ 11x + 5 = -105 \]
\[ 11x + 5 - 5 = -105 - 5 \ \Rightarrow\ 11x = -110 \]
\[ \frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10 \]
\[ 11\cdot(-10) + 5 = -110 + 5 = -105 \checkmark \]

Trying values of x in 11x + 5 = −105

x	11x + 5	Equals -105?
-12	-127	no
-11	-116	no
-10	-105	yes
-9	-94	no
-8	-83	no

Questions

What is x in 11x + 5 = −105?

The solution of 11x + 5 = −105 is x = -10.

How do you solve 11x + 5 = −105?

Subtract 5 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) + 5 = -105, which is -105.

Solve 11x + 5 = −105

How to work it out

Trying values of x in 11x + 5 = −105

Questions

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