Solve 5x − 12 = −22

The solution of 5x − 12 = −22 is x = -2.

5x - 12 = -22\ \Rightarrow\ x = -2

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The lines y = 5x − 12 and y = -22 meet at x = -2. 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.
$5x - 12 = -22$
2
Add 12 to both sides:
$5x - 12 + 12 = -22 + 12 \ \Rightarrow\ 5x = -10$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$5\cdot(-2) - 12 = -10 - 12 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 12 = -22\ \Rightarrow\ x = -2 \]
\[ 5x - 12 = -22 \]
\[ 5x - 12 + 12 = -22 + 12 \ \Rightarrow\ 5x = -10 \]
\[ \frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2 \]
\[ 5\cdot(-2) - 12 = -10 - 12 = -22 \checkmark \]

Trying values of x in 5x − 12 = −22

x	5x − 12	Equals -22?
-4	-32	no
-3	-27	no
-2	-22	yes
-1	-17	no
0	-12	no

Questions

What is x in 5x − 12 = −22?

The solution of 5x − 12 = −22 is x = -2.

How do you solve 5x − 12 = −22?

Add 12 to both sides to get 5x = -10, then divide both sides by 5 to get x = -2.

How do I check the answer?

Replace x by -2: 5(-2) − 12 = -22, which is -22.

Solve 5x − 12 = −22

How to work it out

Trying values of x in 5x − 12 = −22

Questions

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