Solve 12x − 10 = −22

The solution of 12x − 10 = −22 is x = -1.

12x - 10 = -22\ \Rightarrow\ x = -1

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The lines y = 12x − 10 and y = -22 meet at x = -1. 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.
$12x - 10 = -22$
2
Add 10 to both sides:
$12x - 10 + 10 = -22 + 10 \ \Rightarrow\ 12x = -12$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$12\cdot(-1) - 10 = -12 - 10 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 10 = -22\ \Rightarrow\ x = -1 \]
\[ 12x - 10 = -22 \]
\[ 12x - 10 + 10 = -22 + 10 \ \Rightarrow\ 12x = -12 \]
\[ \frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1 \]
\[ 12\cdot(-1) - 10 = -12 - 10 = -22 \checkmark \]

Trying values of x in 12x − 10 = −22

x	12x − 10	Equals -22?
-3	-46	no
-2	-34	no
-1	-22	yes
0	-10	no
1	2	no

Questions

What is x in 12x − 10 = −22?

The solution of 12x − 10 = −22 is x = -1.

How do you solve 12x − 10 = −22?

Add 10 to both sides to get 12x = -12, then divide both sides by 12 to get x = -1.

How do I check the answer?

Replace x by -1: 12(-1) − 10 = -22, which is -22.

Solve 12x − 10 = −22

How to work it out

Trying values of x in 12x − 10 = −22

Questions

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