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Solve 6x + 5 = 83

The solution of 6x + 5 = 83 is x = 13.

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The lines y = 6x + 5 and y = 83 meet at x = 1381012141618405060708090100110120x = 13y = 6x + 5y = 83
The lines y = 6x + 5 and y = 83 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+5=836x + 5 = 83
  2. 2

    Subtract 5 from both sides:

    6x+5−5=83−5 ⇒ 6x=786x + 5 - 5 = 83 - 5 \ \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+5=78+5=83✓6\cdot13 + 5 = 78 + 5 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 5 = 83\ \Rightarrow\ x = 13 \]
\[ 6x + 5 = 83 \]
\[ 6x + 5 - 5 = 83 - 5 \ \Rightarrow\ 6x = 78 \]
\[ \frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13 \]
\[ 6\cdot13 + 5 = 78 + 5 = 83 \checkmark \]

Trying values of x in 6x + 5 = 83

x6x + 5Equals 83?
1171no
1277no
1383yes
1489no
1595no

Questions

What is x in 6x + 5 = 83?

The solution of 6x + 5 = 83 is x = 13.

How do you solve 6x + 5 = 83?

Subtract 5 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) + 5 = 83, which is 83.

Similar equations

    Solve 6x + 5 = 83: x = 13 (steps and check) | WordGPT