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Solve 3x + 12 = 33

The solution of 3x + 12 = 33 is x = 7.

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The lines y = 3x + 12 and y = 33 meet at x = 7246810121520253035404550x = 7y = 3x + 12y = 33
The lines y = 3x + 12 and y = 33 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. 1

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

    3x+12=333x + 12 = 33
  2. 2

    Subtract 12 from both sides:

    3x+12−12=33−12 ⇒ 3x=213x + 12 - 12 = 33 - 12 \ \Rightarrow\ 3x = 21
  3. 3

    Divide both sides by 3:

    3x3=213 ⇒ x=7\frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    3⋅7+12=21+12=33✓3\cdot7 + 12 = 21 + 12 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 12 = 33\ \Rightarrow\ x = 7 \]
\[ 3x + 12 = 33 \]
\[ 3x + 12 - 12 = 33 - 12 \ \Rightarrow\ 3x = 21 \]
\[ \frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7 \]
\[ 3\cdot7 + 12 = 21 + 12 = 33 \checkmark \]

Trying values of x in 3x + 12 = 33

x3x + 12Equals 33?
527no
630no
733yes
836no
939no

Questions

What is x in 3x + 12 = 33?

The solution of 3x + 12 = 33 is x = 7.

How do you solve 3x + 12 = 33?

Subtract 12 from both sides to get 3x = 21, then divide both sides by 3 to get x = 7.

How do I check the answer?

Replace x by 7: 3(7) + 12 = 33, which is 33.

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    Solve 3x + 12 = 33: x = 7 (steps and check) | WordGPT