WordGPT

Solve 3x + 14 = 65

The solution of 3x + 14 = 65 is x = 17.

Explain it step by step in chatMake a short video of it
The lines y = 3x + 14 and y = 65 meet at x = 17121416182022455055606570758085x = 17y = 3x + 14y = 65
The lines y = 3x + 14 and y = 65 meet at x = 17. 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+14=653x + 14 = 65
  2. 2

    Subtract 14 from both sides:

    3x+14−14=65−14 ⇒ 3x=513x + 14 - 14 = 65 - 14 \ \Rightarrow\ 3x = 51
  3. 3

    Divide both sides by 3:

    3x3=513 ⇒ x=17\frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    3⋅17+14=51+14=65✓3\cdot17 + 14 = 51 + 14 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 14 = 65\ \Rightarrow\ x = 17 \]
\[ 3x + 14 = 65 \]
\[ 3x + 14 - 14 = 65 - 14 \ \Rightarrow\ 3x = 51 \]
\[ \frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17 \]
\[ 3\cdot17 + 14 = 51 + 14 = 65 \checkmark \]

Trying values of x in 3x + 14 = 65

x3x + 14Equals 65?
1559no
1662no
1765yes
1868no
1971no

Questions

What is x in 3x + 14 = 65?

The solution of 3x + 14 = 65 is x = 17.

How do you solve 3x + 14 = 65?

Subtract 14 from both sides to get 3x = 51, then divide both sides by 3 to get x = 17.

How do I check the answer?

Replace x by 17: 3(17) + 14 = 65, which is 65.

Similar equations

    Solve 3x + 14 = 65: x = 17 (steps and check) | WordGPT