Solve 12x + 14 = −82

The solution of 12x + 14 = −82 is x = -8.

12x + 14 = -82\ \Rightarrow\ x = -8

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The lines y = 12x + 14 and y = -82 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.
$12x + 14 = -82$
2
Subtract 14 from both sides:
$12x + 14 - 14 = -82 - 14 \ \Rightarrow\ 12x = -96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$12\cdot(-8) + 14 = -96 + 14 = -82 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 14 = -82\ \Rightarrow\ x = -8 \]
\[ 12x + 14 = -82 \]
\[ 12x + 14 - 14 = -82 - 14 \ \Rightarrow\ 12x = -96 \]
\[ \frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8 \]
\[ 12\cdot(-8) + 14 = -96 + 14 = -82 \checkmark \]

Trying values of x in 12x + 14 = −82

x	12x + 14	Equals -82?
-10	-106	no
-9	-94	no
-8	-82	yes
-7	-70	no
-6	-58	no

Questions

What is x in 12x + 14 = −82?

The solution of 12x + 14 = −82 is x = -8.

How do you solve 12x + 14 = −82?

Subtract 14 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) + 14 = -82, which is -82.

Solve 12x + 14 = −82

How to work it out

Trying values of x in 12x + 14 = −82

Questions

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