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Solve 2x + 15 = 31

The solution of 2x + 15 = 31 is x = 8.

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The lines y = 2x + 15 and y = 31 meet at x = 82468101214202530354045x = 8y = 2x + 15y = 31
The lines y = 2x + 15 and y = 31 meet at x = 8. 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+15=312x + 15 = 31
  2. 2

    Subtract 15 from both sides:

    2x+15−15=31−15 ⇒ 2x=162x + 15 - 15 = 31 - 15 \ \Rightarrow\ 2x = 16
  3. 3

    Divide both sides by 2:

    2x2=162 ⇒ x=8\frac{2x}{2} = \frac{16}{2} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    2⋅8+15=16+15=31✓2\cdot8 + 15 = 16 + 15 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 15 = 31\ \Rightarrow\ x = 8 \]
\[ 2x + 15 = 31 \]
\[ 2x + 15 - 15 = 31 - 15 \ \Rightarrow\ 2x = 16 \]
\[ \frac{2x}{2} = \frac{16}{2} \ \Rightarrow\ x = 8 \]
\[ 2\cdot8 + 15 = 16 + 15 = 31 \checkmark \]

Trying values of x in 2x + 15 = 31

x2x + 15Equals 31?
627no
729no
831yes
933no
1035no

Questions

What is x in 2x + 15 = 31?

The solution of 2x + 15 = 31 is x = 8.

How do you solve 2x + 15 = 31?

Subtract 15 from both sides to get 2x = 16, then divide both sides by 2 to get x = 8.

How do I check the answer?

Replace x by 8: 2(8) + 15 = 31, which is 31.

Similar equations

    Solve 2x + 15 = 31: x = 8 (steps and check) | WordGPT