Solve 12x − 10 = −106

The solution of 12x − 10 = −106 is x = -8.

12x - 10 = -106\ \Rightarrow\ x = -8

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

The lines y = 12x − 10 and y = -106 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 subtraction, then the multiplication.
$12x - 10 = -106$
2
Add 10 to both sides:
$12x - 10 + 10 = -106 + 10 \ \Rightarrow\ 12x = -96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$12\cdot(-8) - 10 = -96 - 10 = -106 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 10 = -106\ \Rightarrow\ x = -8 \]
\[ 12x - 10 = -106 \]
\[ 12x - 10 + 10 = -106 + 10 \ \Rightarrow\ 12x = -96 \]
\[ \frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8 \]
\[ 12\cdot(-8) - 10 = -96 - 10 = -106 \checkmark \]

Trying values of x in 12x − 10 = −106

x	12x − 10	Equals -106?
-10	-130	no
-9	-118	no
-8	-106	yes
-7	-94	no
-6	-82	no

Questions

What is x in 12x − 10 = −106?

The solution of 12x − 10 = −106 is x = -8.

How do you solve 12x − 10 = −106?

Add 10 to 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) − 10 = -106, which is -106.

Solve 12x − 10 = −106

How to work it out

Trying values of x in 12x − 10 = −106

Questions

Similar equations