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Solve 6x + 3 = 81

The solution of 6x + 3 = 81 is x = 13.

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The lines y = 6x + 3 and y = 81 meet at x = 1381012141618405060708090100110120x = 13y = 6x + 3y = 81
The lines y = 6x + 3 and y = 81 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+3=816x + 3 = 81
  2. 2

    Subtract 3 from both sides:

    6x+3−3=81−3 ⇒ 6x=786x + 3 - 3 = 81 - 3 \ \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+3=78+3=81✓6\cdot13 + 3 = 78 + 3 = 81 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 3 = 81\ \Rightarrow\ x = 13 \]
\[ 6x + 3 = 81 \]
\[ 6x + 3 - 3 = 81 - 3 \ \Rightarrow\ 6x = 78 \]
\[ \frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13 \]
\[ 6\cdot13 + 3 = 78 + 3 = 81 \checkmark \]

Trying values of x in 6x + 3 = 81

x6x + 3Equals 81?
1169no
1275no
1381yes
1487no
1593no

Questions

What is x in 6x + 3 = 81?

The solution of 6x + 3 = 81 is x = 13.

How do you solve 6x + 3 = 81?

Subtract 3 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) + 3 = 81, which is 81.

Similar equations

    Solve 6x + 3 = 81: x = 13 (steps and check) | WordGPT