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Solve 2x + 15 = 13

The solution of 2x + 15 = 13 is x = -1.

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The lines y = 2x + 15 and y = 13 meet at x = -1-6-4-224510152025x = -1y = 2x + 15y = 13
The lines y = 2x + 15 and y = 13 meet at x = -1. 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=132x + 15 = 13
  2. 2

    Subtract 15 from both sides:

    2x+15−15=13−15 ⇒ 2x=−22x + 15 - 15 = 13 - 15 \ \Rightarrow\ 2x = -2
  3. 3

    Divide both sides by 2:

    2x2=−22 ⇒ x=−1\frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    2⋅(−1)+15=−2+15=13✓2\cdot(-1) + 15 = -2 + 15 = 13 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 15 = 13\ \Rightarrow\ x = -1 \]
\[ 2x + 15 = 13 \]
\[ 2x + 15 - 15 = 13 - 15 \ \Rightarrow\ 2x = -2 \]
\[ \frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1 \]
\[ 2\cdot(-1) + 15 = -2 + 15 = 13 \checkmark \]

Trying values of x in 2x + 15 = 13

x2x + 15Equals 13?
-39no
-211no
-113yes
015no
117no

Questions

What is x in 2x + 15 = 13?

The solution of 2x + 15 = 13 is x = -1.

How do you solve 2x + 15 = 13?

Subtract 15 from both sides to get 2x = -2, then divide both sides by 2 to get x = -1.

How do I check the answer?

Replace x by -1: 2(-1) + 15 = 13, which is 13.

Similar equations

    Solve 2x + 15 = 13: x = -1 (steps and check) | WordGPT