Solve 3x + 9 = −6

The solution of 3x + 9 = −6 is x = -5.

3x + 9 = -6\ \Rightarrow\ x = -5

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The lines y = 3x + 9 and y = -6 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.
$3x + 9 = -6$
2
Subtract 9 from both sides:
$3x + 9 - 9 = -6 - 9 \ \Rightarrow\ 3x = -15$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{-15}{3} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$3\cdot(-5) + 9 = -15 + 9 = -6 \checkmark$

LaTeX source of the formulas on this page

\[ 3x + 9 = -6\ \Rightarrow\ x = -5 \]
\[ 3x + 9 = -6 \]
\[ 3x + 9 - 9 = -6 - 9 \ \Rightarrow\ 3x = -15 \]
\[ \frac{3x}{3} = \frac{-15}{3} \ \Rightarrow\ x = -5 \]
\[ 3\cdot(-5) + 9 = -15 + 9 = -6 \checkmark \]

Trying values of x in 3x + 9 = −6

x	3x + 9	Equals -6?
-7	-12	no
-6	-9	no
-5	-6	yes
-4	-3	no
-3	0	no

Questions

What is x in 3x + 9 = −6?

The solution of 3x + 9 = −6 is x = -5.

How do you solve 3x + 9 = −6?

Subtract 9 from both sides to get 3x = -15, then divide both sides by 3 to get x = -5.

How do I check the answer?

Replace x by -5: 3(-5) + 9 = -6, which is -6.

Solve 3x + 9 = −6

How to work it out

Trying values of x in 3x + 9 = −6

Questions

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