Solve 12x − 10 = −82

The solution of 12x − 10 = −82 is x = -6.

12x - 10 = -82\ \Rightarrow\ x = -6

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The lines y = 12x − 10 and y = -82 meet at x = -6. 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.
$12x - 10 = -82$
2
Add 10 to both sides:
$12x - 10 + 10 = -82 + 10 \ \Rightarrow\ 12x = -72$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-72}{12} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$12\cdot(-6) - 10 = -72 - 10 = -82 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 10 = -82\ \Rightarrow\ x = -6 \]
\[ 12x - 10 = -82 \]
\[ 12x - 10 + 10 = -82 + 10 \ \Rightarrow\ 12x = -72 \]
\[ \frac{12x}{12} = \frac{-72}{12} \ \Rightarrow\ x = -6 \]
\[ 12\cdot(-6) - 10 = -72 - 10 = -82 \checkmark \]

Trying values of x in 12x − 10 = −82

x	12x − 10	Equals -82?
-8	-106	no
-7	-94	no
-6	-82	yes
-5	-70	no
-4	-58	no

Questions

What is x in 12x − 10 = −82?

The solution of 12x − 10 = −82 is x = -6.

How do you solve 12x − 10 = −82?

Add 10 to both sides to get 12x = -72, then divide both sides by 12 to get x = -6.

How do I check the answer?

Replace x by -6: 12(-6) − 10 = -82, which is -82.

Solve 12x − 10 = −82

How to work it out

Trying values of x in 12x − 10 = −82

Questions

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