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Solve 2x + 3 = 31

The solution of 2x + 3 = 31 is x = 14.

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The lines y = 2x + 3 and y = 31 meet at x = 148101214161820202530354045x = 14y = 2x + 3y = 31
The lines y = 2x + 3 and y = 31 meet at x = 14. 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=312x + 3 = 31
  2. 2

    Subtract 3 from both sides:

    2x+3−3=31−3 ⇒ 2x=282x + 3 - 3 = 31 - 3 \ \Rightarrow\ 2x = 28
  3. 3

    Divide both sides by 2:

    2x2=282 ⇒ x=14\frac{2x}{2} = \frac{28}{2} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    2⋅14+3=28+3=31✓2\cdot14 + 3 = 28 + 3 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 3 = 31\ \Rightarrow\ x = 14 \]
\[ 2x + 3 = 31 \]
\[ 2x + 3 - 3 = 31 - 3 \ \Rightarrow\ 2x = 28 \]
\[ \frac{2x}{2} = \frac{28}{2} \ \Rightarrow\ x = 14 \]
\[ 2\cdot14 + 3 = 28 + 3 = 31 \checkmark \]

Trying values of x in 2x + 3 = 31

x2x + 3Equals 31?
1227no
1329no
1431yes
1533no
1635no

Questions

What is x in 2x + 3 = 31?

The solution of 2x + 3 = 31 is x = 14.

How do you solve 2x + 3 = 31?

Subtract 3 from both sides to get 2x = 28, then divide both sides by 2 to get x = 14.

How do I check the answer?

Replace x by 14: 2(14) + 3 = 31, which is 31.

Similar equations

    Solve 2x + 3 = 31: x = 14 (steps and check) | WordGPT