Solve 5x − 7 = −22

The solution of 5x − 7 = −22 is x = -3.

5x - 7 = -22\ \Rightarrow\ x = -3

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The lines y = 5x − 7 and y = -22 meet at x = -3. 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.
$5x - 7 = -22$
2
Add 7 to both sides:
$5x - 7 + 7 = -22 + 7 \ \Rightarrow\ 5x = -15$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-15}{5} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$5\cdot(-3) - 7 = -15 - 7 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 7 = -22\ \Rightarrow\ x = -3 \]
\[ 5x - 7 = -22 \]
\[ 5x - 7 + 7 = -22 + 7 \ \Rightarrow\ 5x = -15 \]
\[ \frac{5x}{5} = \frac{-15}{5} \ \Rightarrow\ x = -3 \]
\[ 5\cdot(-3) - 7 = -15 - 7 = -22 \checkmark \]

Trying values of x in 5x − 7 = −22

x	5x − 7	Equals -22?
-5	-32	no
-4	-27	no
-3	-22	yes
-2	-17	no
-1	-12	no

Questions

What is x in 5x − 7 = −22?

The solution of 5x − 7 = −22 is x = -3.

How do you solve 5x − 7 = −22?

Add 7 to both sides to get 5x = -15, then divide both sides by 5 to get x = -3.

How do I check the answer?

Replace x by -3: 5(-3) − 7 = -22, which is -22.

Solve 5x − 7 = −22

How to work it out

Trying values of x in 5x − 7 = −22

Questions

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