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Solve 3x + 2 = 17

The solution of 3x + 2 = 17 is x = 5.

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The lines y = 3x + 2 and y = 17 meet at x = 52468105101520253035x = 5y = 3x + 2y = 17
The lines y = 3x + 2 and y = 17 meet at x = 5. 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+2=173x + 2 = 17
  2. 2

    Subtract 2 from both sides:

    3x+2−2=17−2 ⇒ 3x=153x + 2 - 2 = 17 - 2 \ \Rightarrow\ 3x = 15
  3. 3

    Divide both sides by 3:

    3x3=153 ⇒ x=5\frac{3x}{3} = \frac{15}{3} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    3⋅5+2=15+2=17✓3\cdot5 + 2 = 15 + 2 = 17 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 2 = 17\ \Rightarrow\ x = 5 \]
\[ 3x + 2 = 17 \]
\[ 3x + 2 - 2 = 17 - 2 \ \Rightarrow\ 3x = 15 \]
\[ \frac{3x}{3} = \frac{15}{3} \ \Rightarrow\ x = 5 \]
\[ 3\cdot5 + 2 = 15 + 2 = 17 \checkmark \]

Trying values of x in 3x + 2 = 17

x3x + 2Equals 17?
311no
414no
517yes
620no
723no

Questions

What is x in 3x + 2 = 17?

The solution of 3x + 2 = 17 is x = 5.

How do you solve 3x + 2 = 17?

Subtract 2 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5.

How do I check the answer?

Replace x by 5: 3(5) + 2 = 17, which is 17.

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    Solve 3x + 2 = 17: x = 5 (steps and check) | WordGPT