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Solve 3x + 5 = 65

The solution of 3x + 5 = 65 is x = 20.

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The lines y = 3x + 5 and y = 65 meet at x = 2014161820222426455055606570758085x = 20y = 3x + 5y = 65
The lines y = 3x + 5 and y = 65 meet at x = 20. 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.

    3x+5=653x + 5 = 65
  2. 2

    Subtract 5 from both sides:

    3x+5−5=65−5 ⇒ 3x=603x + 5 - 5 = 65 - 5 \ \Rightarrow\ 3x = 60
  3. 3

    Divide both sides by 3:

    3x3=603 ⇒ x=20\frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    3⋅20+5=60+5=65✓3\cdot20 + 5 = 60 + 5 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 5 = 65\ \Rightarrow\ x = 20 \]
\[ 3x + 5 = 65 \]
\[ 3x + 5 - 5 = 65 - 5 \ \Rightarrow\ 3x = 60 \]
\[ \frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20 \]
\[ 3\cdot20 + 5 = 60 + 5 = 65 \checkmark \]

Trying values of x in 3x + 5 = 65

x3x + 5Equals 65?
1859no
1962no
2065yes
2168no
2271no

Questions

What is x in 3x + 5 = 65?

The solution of 3x + 5 = 65 is x = 20.

How do you solve 3x + 5 = 65?

Subtract 5 from both sides to get 3x = 60, then divide both sides by 3 to get x = 20.

How do I check the answer?

Replace x by 20: 3(20) + 5 = 65, which is 65.

Similar equations

    Solve 3x + 5 = 65: x = 20 (steps and check) | WordGPT