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Solve 3x + 6 = 33

The solution of 3x + 6 = 33 is x = 9.

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The lines y = 3x + 6 and y = 33 meet at x = 94681012141520253035404550x = 9y = 3x + 6y = 33
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. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    3x+6=333x + 6 = 33
  2. 2

    Subtract 6 from both sides:

    3x+6−6=33−6 ⇒ 3x=273x + 6 - 6 = 33 - 6 \ \Rightarrow\ 3x = 27
  3. 3

    Divide both sides by 3:

    3x3=273 ⇒ x=9\frac{3x}{3} = \frac{27}{3} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    3⋅9+6=27+6=33✓3\cdot9 + 6 = 27 + 6 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 6 = 33\ \Rightarrow\ x = 9 \]
\[ 3x + 6 = 33 \]
\[ 3x + 6 - 6 = 33 - 6 \ \Rightarrow\ 3x = 27 \]
\[ \frac{3x}{3} = \frac{27}{3} \ \Rightarrow\ x = 9 \]
\[ 3\cdot9 + 6 = 27 + 6 = 33 \checkmark \]

Trying values of x in 3x + 6 = 33

x3x + 6Equals 33?
727no
830no
933yes
1036no
1139no

Questions

What is x in 3x + 6 = 33?

The solution of 3x + 6 = 33 is x = 9.

How do you solve 3x + 6 = 33?

Subtract 6 from 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.

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    Solve 3x + 6 = 33: x = 9 (steps and check) | WordGPT