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Solve 6x + 12 = 66

The solution of 6x + 12 = 66 is x = 9.

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The lines y = 6x + 12 and y = 66 meet at x = 946810121430405060708090100x = 9y = 6x + 12y = 66
The lines y = 6x + 12 and y = 66 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.

    6x+12=666x + 12 = 66
  2. 2

    Subtract 12 from both sides:

    6x+12−12=66−12 ⇒ 6x=546x + 12 - 12 = 66 - 12 \ \Rightarrow\ 6x = 54
  3. 3

    Divide both sides by 6:

    6x6=546 ⇒ x=9\frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    6⋅9+12=54+12=66✓6\cdot9 + 12 = 54 + 12 = 66 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 12 = 66\ \Rightarrow\ x = 9 \]
\[ 6x + 12 = 66 \]
\[ 6x + 12 - 12 = 66 - 12 \ \Rightarrow\ 6x = 54 \]
\[ \frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9 \]
\[ 6\cdot9 + 12 = 54 + 12 = 66 \checkmark \]

Trying values of x in 6x + 12 = 66

x6x + 12Equals 66?
754no
860no
966yes
1072no
1178no

Questions

What is x in 6x + 12 = 66?

The solution of 6x + 12 = 66 is x = 9.

How do you solve 6x + 12 = 66?

Subtract 12 from both sides to get 6x = 54, then divide both sides by 6 to get x = 9.

How do I check the answer?

Replace x by 9: 6(9) + 12 = 66, which is 66.

Similar equations

    Solve 6x + 12 = 66: x = 9 (steps and check) | WordGPT