Solve 9x + 3 = −60

The solution of 9x + 3 = −60 is x = -7.

9x + 3 = -60\ \Rightarrow\ x = -7

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The lines y = 9x + 3 and y = -60 meet at x = -7. 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.
$9x + 3 = -60$
2
Subtract 3 from both sides:
$9x + 3 - 3 = -60 - 3 \ \Rightarrow\ 9x = -63$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-63}{9} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$9\cdot(-7) + 3 = -63 + 3 = -60 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 3 = -60\ \Rightarrow\ x = -7 \]
\[ 9x + 3 = -60 \]
\[ 9x + 3 - 3 = -60 - 3 \ \Rightarrow\ 9x = -63 \]
\[ \frac{9x}{9} = \frac{-63}{9} \ \Rightarrow\ x = -7 \]
\[ 9\cdot(-7) + 3 = -63 + 3 = -60 \checkmark \]

Trying values of x in 9x + 3 = −60

x	9x + 3	Equals -60?
-9	-78	no
-8	-69	no
-7	-60	yes
-6	-51	no
-5	-42	no

Questions

What is x in 9x + 3 = −60?

The solution of 9x + 3 = −60 is x = -7.

How do you solve 9x + 3 = −60?

Subtract 3 from both sides to get 9x = -63, then divide both sides by 9 to get x = -7.

How do I check the answer?

Replace x by -7: 9(-7) + 3 = -60, which is -60.

Solve 9x + 3 = −60

How to work it out

Trying values of x in 9x + 3 = −60

Questions

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