Solve 5x − 2 = −22

The solution of 5x − 2 = −22 is x = -4.

5x - 2 = -22\ \Rightarrow\ x = -4

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The lines y = 5x − 2 and y = -22 meet at x = -4. 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.
$5x - 2 = -22$
2
Add 2 to both sides:
$5x - 2 + 2 = -22 + 2 \ \Rightarrow\ 5x = -20$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-20}{5} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$5\cdot(-4) - 2 = -20 - 2 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 2 = -22\ \Rightarrow\ x = -4 \]
\[ 5x - 2 = -22 \]
\[ 5x - 2 + 2 = -22 + 2 \ \Rightarrow\ 5x = -20 \]
\[ \frac{5x}{5} = \frac{-20}{5} \ \Rightarrow\ x = -4 \]
\[ 5\cdot(-4) - 2 = -20 - 2 = -22 \checkmark \]

Trying values of x in 5x − 2 = −22

x	5x − 2	Equals -22?
-6	-32	no
-5	-27	no
-4	-22	yes
-3	-17	no
-2	-12	no

Questions

What is x in 5x − 2 = −22?

The solution of 5x − 2 = −22 is x = -4.

How do you solve 5x − 2 = −22?

Add 2 to both sides to get 5x = -20, then divide both sides by 5 to get x = -4.

How do I check the answer?

Replace x by -4: 5(-4) − 2 = -22, which is -22.

Solve 5x − 2 = −22

How to work it out

Trying values of x in 5x − 2 = −22

Questions

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