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Solve 2x + 3 = 17

The solution of 2x + 3 = 17 is x = 7.

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The lines y = 2x + 3 and y = 17 meet at x = 72468101251015202530x = 7y = 2x + 3y = 17
The lines y = 2x + 3 and y = 17 meet at x = 7. 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.

    2x+3=172x + 3 = 17
  2. 2

    Subtract 3 from both sides:

    2x+3−3=17−3 ⇒ 2x=142x + 3 - 3 = 17 - 3 \ \Rightarrow\ 2x = 14
  3. 3

    Divide both sides by 2:

    2x2=142 ⇒ x=7\frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    2⋅7+3=14+3=17✓2\cdot7 + 3 = 14 + 3 = 17 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 3 = 17\ \Rightarrow\ x = 7 \]
\[ 2x + 3 = 17 \]
\[ 2x + 3 - 3 = 17 - 3 \ \Rightarrow\ 2x = 14 \]
\[ \frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7 \]
\[ 2\cdot7 + 3 = 14 + 3 = 17 \checkmark \]

Trying values of x in 2x + 3 = 17

x2x + 3Equals 17?
513no
615no
717yes
819no
921no

Questions

What is x in 2x + 3 = 17?

The solution of 2x + 3 = 17 is x = 7.

How do you solve 2x + 3 = 17?

Subtract 3 from both sides to get 2x = 14, then divide both sides by 2 to get x = 7.

How do I check the answer?

Replace x by 7: 2(7) + 3 = 17, which is 17.

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    Solve 2x + 3 = 17: x = 7 (steps and check) | WordGPT