Solve 12x + 11 = −85

The solution of 12x + 11 = −85 is x = -8.

12x + 11 = -85\ \Rightarrow\ x = -8

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The lines y = 12x + 11 and y = -85 meet at x = -8. 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.
$12x + 11 = -85$
2
Subtract 11 from both sides:
$12x + 11 - 11 = -85 - 11 \ \Rightarrow\ 12x = -96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$12\cdot(-8) + 11 = -96 + 11 = -85 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 11 = -85\ \Rightarrow\ x = -8 \]
\[ 12x + 11 = -85 \]
\[ 12x + 11 - 11 = -85 - 11 \ \Rightarrow\ 12x = -96 \]
\[ \frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8 \]
\[ 12\cdot(-8) + 11 = -96 + 11 = -85 \checkmark \]

Trying values of x in 12x + 11 = −85

x	12x + 11	Equals -85?
-10	-109	no
-9	-97	no
-8	-85	yes
-7	-73	no
-6	-61	no

Questions

What is x in 12x + 11 = −85?

The solution of 12x + 11 = −85 is x = -8.

How do you solve 12x + 11 = −85?

Subtract 11 from both sides to get 12x = -96, then divide both sides by 12 to get x = -8.

How do I check the answer?

Replace x by -8: 12(-8) + 11 = -85, which is -85.

Solve 12x + 11 = −85

How to work it out

Trying values of x in 12x + 11 = −85

Questions

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