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Solve 2x + 5 = 31

The solution of 2x + 5 = 31 is x = 13.

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The lines y = 2x + 5 and y = 31 meet at x = 1381012141618202530354045x = 13y = 2x + 5y = 31
The lines y = 2x + 5 and y = 31 meet at x = 13. 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+5=312x + 5 = 31
  2. 2

    Subtract 5 from both sides:

    2x+5−5=31−5 ⇒ 2x=262x + 5 - 5 = 31 - 5 \ \Rightarrow\ 2x = 26
  3. 3

    Divide both sides by 2:

    2x2=262 ⇒ x=13\frac{2x}{2} = \frac{26}{2} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    2⋅13+5=26+5=31✓2\cdot13 + 5 = 26 + 5 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 5 = 31\ \Rightarrow\ x = 13 \]
\[ 2x + 5 = 31 \]
\[ 2x + 5 - 5 = 31 - 5 \ \Rightarrow\ 2x = 26 \]
\[ \frac{2x}{2} = \frac{26}{2} \ \Rightarrow\ x = 13 \]
\[ 2\cdot13 + 5 = 26 + 5 = 31 \checkmark \]

Trying values of x in 2x + 5 = 31

x2x + 5Equals 31?
1127no
1229no
1331yes
1433no
1535no

Questions

What is x in 2x + 5 = 31?

The solution of 2x + 5 = 31 is x = 13.

How do you solve 2x + 5 = 31?

Subtract 5 from both sides to get 2x = 26, then divide both sides by 2 to get x = 13.

How do I check the answer?

Replace x by 13: 2(13) + 5 = 31, which is 31.

Similar equations

    Solve 2x + 5 = 31: x = 13 (steps and check) | WordGPT