Solve 7x + 13 = −22

The solution of 7x + 13 = −22 is x = -5.

7x + 13 = -22\ \Rightarrow\ x = -5

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The lines y = 7x + 13 and y = -22 meet at x = -5. 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 addition, then the multiplication.
$7x + 13 = -22$
2
Subtract 13 from both sides:
$7x + 13 - 13 = -22 - 13 \ \Rightarrow\ 7x = -35$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-35}{7} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$7\cdot(-5) + 13 = -35 + 13 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 13 = -22\ \Rightarrow\ x = -5 \]
\[ 7x + 13 = -22 \]
\[ 7x + 13 - 13 = -22 - 13 \ \Rightarrow\ 7x = -35 \]
\[ \frac{7x}{7} = \frac{-35}{7} \ \Rightarrow\ x = -5 \]
\[ 7\cdot(-5) + 13 = -35 + 13 = -22 \checkmark \]

Trying values of x in 7x + 13 = −22

x	7x + 13	Equals -22?
-7	-36	no
-6	-29	no
-5	-22	yes
-4	-15	no
-3	-8	no

Questions

What is x in 7x + 13 = −22?

The solution of 7x + 13 = −22 is x = -5.

How do you solve 7x + 13 = −22?

Subtract 13 from both sides to get 7x = -35, then divide both sides by 7 to get x = -5.

How do I check the answer?

Replace x by -5: 7(-5) + 13 = -22, which is -22.

Solve 7x + 13 = −22

How to work it out

Trying values of x in 7x + 13 = −22

Questions

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