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Solve 6x + 5 = 65

The solution of 6x + 5 = 65 is x = 10.

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The lines y = 6x + 5 and y = 65 meet at x = 104681012141630405060708090100x = 10y = 6x + 5y = 65
The lines y = 6x + 5 and y = 65 meet at x = 10. 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=656x + 5 = 65
  2. 2

    Subtract 5 from both sides:

    6x+5−5=65−5 ⇒ 6x=606x + 5 - 5 = 65 - 5 \ \Rightarrow\ 6x = 60
  3. 3

    Divide both sides by 6:

    6x6=606 ⇒ x=10\frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    6⋅10+5=60+5=65✓6\cdot10 + 5 = 60 + 5 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 5 = 65\ \Rightarrow\ x = 10 \]
\[ 6x + 5 = 65 \]
\[ 6x + 5 - 5 = 65 - 5 \ \Rightarrow\ 6x = 60 \]
\[ \frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10 \]
\[ 6\cdot10 + 5 = 60 + 5 = 65 \checkmark \]

Trying values of x in 6x + 5 = 65

x6x + 5Equals 65?
853no
959no
1065yes
1171no
1277no

Questions

What is x in 6x + 5 = 65?

The solution of 6x + 5 = 65 is x = 10.

How do you solve 6x + 5 = 65?

Subtract 5 from both sides to get 6x = 60, then divide both sides by 6 to get x = 10.

How do I check the answer?

Replace x by 10: 6(10) + 5 = 65, which is 65.

Similar equations

    Solve 6x + 5 = 65: x = 10 (steps and check) | WordGPT