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Solve 6x + 6 = 78

The solution of 6x + 6 = 78 is x = 12.

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The lines y = 6x + 6 and y = 78 meet at x = 12681012141618405060708090100110120x = 12y = 6x + 6y = 78
The lines y = 6x + 6 and y = 78 meet at x = 12. 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=786x + 6 = 78
  2. 2

    Subtract 6 from both sides:

    6x+6−6=78−6 ⇒ 6x=726x + 6 - 6 = 78 - 6 \ \Rightarrow\ 6x = 72
  3. 3

    Divide both sides by 6:

    6x6=726 ⇒ x=12\frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    6⋅12+6=72+6=78✓6\cdot12 + 6 = 72 + 6 = 78 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 6 = 78\ \Rightarrow\ x = 12 \]
\[ 6x + 6 = 78 \]
\[ 6x + 6 - 6 = 78 - 6 \ \Rightarrow\ 6x = 72 \]
\[ \frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12 \]
\[ 6\cdot12 + 6 = 72 + 6 = 78 \checkmark \]

Trying values of x in 6x + 6 = 78

x6x + 6Equals 78?
1066no
1172no
1278yes
1384no
1490no

Questions

What is x in 6x + 6 = 78?

The solution of 6x + 6 = 78 is x = 12.

How do you solve 6x + 6 = 78?

Subtract 6 from both sides to get 6x = 72, then divide both sides by 6 to get x = 12.

How do I check the answer?

Replace x by 12: 6(12) + 6 = 78, which is 78.

Similar equations

    Solve 6x + 6 = 78: x = 12 (steps and check) | WordGPT