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Solve 6x + 6 = 84

The solution of 6x + 6 = 84 is x = 13.

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The lines y = 6x + 6 and y = 84 meet at x = 13810121416185060708090100110120x = 13y = 6x + 6y = 84
The lines y = 6x + 6 and y = 84 meet at x = 13. 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+6=846x + 6 = 84
  2. 2

    Subtract 6 from both sides:

    6x+6−6=84−6 ⇒ 6x=786x + 6 - 6 = 84 - 6 \ \Rightarrow\ 6x = 78
  3. 3

    Divide both sides by 6:

    6x6=786 ⇒ x=13\frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    6⋅13+6=78+6=84✓6\cdot13 + 6 = 78 + 6 = 84 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 6 = 84\ \Rightarrow\ x = 13 \]
\[ 6x + 6 = 84 \]
\[ 6x + 6 - 6 = 84 - 6 \ \Rightarrow\ 6x = 78 \]
\[ \frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13 \]
\[ 6\cdot13 + 6 = 78 + 6 = 84 \checkmark \]

Trying values of x in 6x + 6 = 84

x6x + 6Equals 84?
1172no
1278no
1384yes
1490no
1596no

Questions

What is x in 6x + 6 = 84?

The solution of 6x + 6 = 84 is x = 13.

How do you solve 6x + 6 = 84?

Subtract 6 from both sides to get 6x = 78, then divide both sides by 6 to get x = 13.

How do I check the answer?

Replace x by 13: 6(13) + 6 = 84, which is 84.

Similar equations

    Solve 6x + 6 = 84: x = 13 (steps and check) | WordGPT