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Solve 3x + 14 = 17

The solution of 3x + 14 = 17 is x = 1.

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The lines y = 3x + 14 and y = 17 meet at x = 1-4-22465101520253035x = 1y = 3x + 14y = 17
The lines y = 3x + 14 and y = 17 meet at x = 1. 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=173x + 14 = 17
  2. 2

    Subtract 14 from both sides:

    3x+14−14=17−14 ⇒ 3x=33x + 14 - 14 = 17 - 14 \ \Rightarrow\ 3x = 3
  3. 3

    Divide both sides by 3:

    3x3=33 ⇒ x=1\frac{3x}{3} = \frac{3}{3} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    3⋅1+14=3+14=17✓3\cdot1 + 14 = 3 + 14 = 17 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 14 = 17\ \Rightarrow\ x = 1 \]
\[ 3x + 14 = 17 \]
\[ 3x + 14 - 14 = 17 - 14 \ \Rightarrow\ 3x = 3 \]
\[ \frac{3x}{3} = \frac{3}{3} \ \Rightarrow\ x = 1 \]
\[ 3\cdot1 + 14 = 3 + 14 = 17 \checkmark \]

Trying values of x in 3x + 14 = 17

x3x + 14Equals 17?
-111no
014no
117yes
220no
323no

Questions

What is x in 3x + 14 = 17?

The solution of 3x + 14 = 17 is x = 1.

How do you solve 3x + 14 = 17?

Subtract 14 from both sides to get 3x = 3, then divide both sides by 3 to get x = 1.

How do I check the answer?

Replace x by 1: 3(1) + 14 = 17, which is 17.

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    Solve 3x + 14 = 17: x = 1 (steps and check) | WordGPT