Solve 9x + 5 = −67

The solution of 9x + 5 = −67 is x = -8.

9x + 5 = -67\ \Rightarrow\ x = -8

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The lines y = 9x + 5 and y = -67 meet at x = -8. 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.
$9x + 5 = -67$
2
Subtract 5 from both sides:
$9x + 5 - 5 = -67 - 5 \ \Rightarrow\ 9x = -72$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$9\cdot(-8) + 5 = -72 + 5 = -67 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 5 = -67\ \Rightarrow\ x = -8 \]
\[ 9x + 5 = -67 \]
\[ 9x + 5 - 5 = -67 - 5 \ \Rightarrow\ 9x = -72 \]
\[ \frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8 \]
\[ 9\cdot(-8) + 5 = -72 + 5 = -67 \checkmark \]

Trying values of x in 9x + 5 = −67

x	9x + 5	Equals -67?
-10	-85	no
-9	-76	no
-8	-67	yes
-7	-58	no
-6	-49	no

Questions

What is x in 9x + 5 = −67?

The solution of 9x + 5 = −67 is x = -8.

How do you solve 9x + 5 = −67?

Subtract 5 from both sides to get 9x = -72, then divide both sides by 9 to get x = -8.

How do I check the answer?

Replace x by -8: 9(-8) + 5 = -67, which is -67.

Solve 9x + 5 = −67

How to work it out

Trying values of x in 9x + 5 = −67

Questions

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