Solve 3x − 6 = −33

The solution of 3x − 6 = −33 is x = -9.

3x - 6 = -33\ \Rightarrow\ x = -9

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The lines y = 3x − 6 and y = -33 meet at x = -9. 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.
$3x - 6 = -33$
2
Add 6 to both sides:
$3x - 6 + 6 = -33 + 6 \ \Rightarrow\ 3x = -27$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{-27}{3} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$3\cdot(-9) - 6 = -27 - 6 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 6 = -33\ \Rightarrow\ x = -9 \]
\[ 3x - 6 = -33 \]
\[ 3x - 6 + 6 = -33 + 6 \ \Rightarrow\ 3x = -27 \]
\[ \frac{3x}{3} = \frac{-27}{3} \ \Rightarrow\ x = -9 \]
\[ 3\cdot(-9) - 6 = -27 - 6 = -33 \checkmark \]

Trying values of x in 3x − 6 = −33

x	3x − 6	Equals -33?
-11	-39	no
-10	-36	no
-9	-33	yes
-8	-30	no
-7	-27	no

Questions

What is x in 3x − 6 = −33?

The solution of 3x − 6 = −33 is x = -9.

How do you solve 3x − 6 = −33?

Add 6 to both sides to get 3x = -27, then divide both sides by 3 to get x = -9.

How do I check the answer?

Replace x by -9: 3(-9) − 6 = -33, which is -33.

Solve 3x − 6 = −33

How to work it out

Trying values of x in 3x − 6 = −33

Questions

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