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Solve 6x + 6 = 42

The solution of 6x + 6 = 42 is x = 6.

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The lines y = 6x + 6 and y = 42 meet at x = 6246810121020304050607080x = 6y = 6x + 6y = 42
The lines y = 6x + 6 and y = 42 meet at x = 6. 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=426x + 6 = 42
  2. 2

    Subtract 6 from both sides:

    6x+6−6=42−6 ⇒ 6x=366x + 6 - 6 = 42 - 6 \ \Rightarrow\ 6x = 36
  3. 3

    Divide both sides by 6:

    6x6=366 ⇒ x=6\frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    6⋅6+6=36+6=42✓6\cdot6 + 6 = 36 + 6 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 6 = 42\ \Rightarrow\ x = 6 \]
\[ 6x + 6 = 42 \]
\[ 6x + 6 - 6 = 42 - 6 \ \Rightarrow\ 6x = 36 \]
\[ \frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6 \]
\[ 6\cdot6 + 6 = 36 + 6 = 42 \checkmark \]

Trying values of x in 6x + 6 = 42

x6x + 6Equals 42?
430no
536no
642yes
748no
854no

Questions

What is x in 6x + 6 = 42?

The solution of 6x + 6 = 42 is x = 6.

How do you solve 6x + 6 = 42?

Subtract 6 from both sides to get 6x = 36, then divide both sides by 6 to get x = 6.

How do I check the answer?

Replace x by 6: 6(6) + 6 = 42, which is 42.

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