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Solve 3x + 12 = 66

The solution of 3x + 12 = 66 is x = 18.

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The lines y = 3x + 12 and y = 66 meet at x = 1812141618202224455055606570758085x = 18y = 3x + 12y = 66
The lines y = 3x + 12 and y = 66 meet at x = 18. 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=663x + 12 = 66
  2. 2

    Subtract 12 from both sides:

    3x+12−12=66−12 ⇒ 3x=543x + 12 - 12 = 66 - 12 \ \Rightarrow\ 3x = 54
  3. 3

    Divide both sides by 3:

    3x3=543 ⇒ x=18\frac{3x}{3} = \frac{54}{3} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    3⋅18+12=54+12=66✓3\cdot18 + 12 = 54 + 12 = 66 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 12 = 66\ \Rightarrow\ x = 18 \]
\[ 3x + 12 = 66 \]
\[ 3x + 12 - 12 = 66 - 12 \ \Rightarrow\ 3x = 54 \]
\[ \frac{3x}{3} = \frac{54}{3} \ \Rightarrow\ x = 18 \]
\[ 3\cdot18 + 12 = 54 + 12 = 66 \checkmark \]

Trying values of x in 3x + 12 = 66

x3x + 12Equals 66?
1660no
1763no
1866yes
1969no
2072no

Questions

What is x in 3x + 12 = 66?

The solution of 3x + 12 = 66 is x = 18.

How do you solve 3x + 12 = 66?

Subtract 12 from both sides to get 3x = 54, then divide both sides by 3 to get x = 18.

How do I check the answer?

Replace x by 18: 3(18) + 12 = 66, which is 66.

Similar equations

    Solve 3x + 12 = 66: x = 18 (steps and check) | WordGPT