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Solve 3x + 5 = 17

The solution of 3x + 5 = 17 is x = 4.

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The lines y = 3x + 5 and y = 17 meet at x = 4-22468105101520253035x = 4y = 3x + 5y = 17
The lines y = 3x + 5 and y = 17 meet at x = 4. 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=173x + 5 = 17
  2. 2

    Subtract 5 from both sides:

    3x+5−5=17−5 ⇒ 3x=123x + 5 - 5 = 17 - 5 \ \Rightarrow\ 3x = 12
  3. 3

    Divide both sides by 3:

    3x3=123 ⇒ x=4\frac{3x}{3} = \frac{12}{3} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    3⋅4+5=12+5=17✓3\cdot4 + 5 = 12 + 5 = 17 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 5 = 17\ \Rightarrow\ x = 4 \]
\[ 3x + 5 = 17 \]
\[ 3x + 5 - 5 = 17 - 5 \ \Rightarrow\ 3x = 12 \]
\[ \frac{3x}{3} = \frac{12}{3} \ \Rightarrow\ x = 4 \]
\[ 3\cdot4 + 5 = 12 + 5 = 17 \checkmark \]

Trying values of x in 3x + 5 = 17

x3x + 5Equals 17?
211no
314no
417yes
520no
623no

Questions

What is x in 3x + 5 = 17?

The solution of 3x + 5 = 17 is x = 4.

How do you solve 3x + 5 = 17?

Subtract 5 from both sides to get 3x = 12, then divide both sides by 3 to get x = 4.

How do I check the answer?

Replace x by 4: 3(4) + 5 = 17, which is 17.

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    Solve 3x + 5 = 17: x = 4 (steps and check) | WordGPT