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Solve 2x + 15 = 11

The solution of 2x + 15 = 11 is x = -2.

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The lines y = 2x + 15 and y = 11 meet at x = -2-8-6-4-224510152025x = -2y = 2x + 15y = 11
The lines y = 2x + 15 and y = 11 meet at x = -2. 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=112x + 15 = 11
  2. 2

    Subtract 15 from both sides:

    2x+15−15=11−15 ⇒ 2x=−42x + 15 - 15 = 11 - 15 \ \Rightarrow\ 2x = -4
  3. 3

    Divide both sides by 2:

    2x2=−42 ⇒ x=−2\frac{2x}{2} = \frac{-4}{2} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

    2⋅(−2)+15=−4+15=11✓2\cdot(-2) + 15 = -4 + 15 = 11 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 15 = 11\ \Rightarrow\ x = -2 \]
\[ 2x + 15 = 11 \]
\[ 2x + 15 - 15 = 11 - 15 \ \Rightarrow\ 2x = -4 \]
\[ \frac{2x}{2} = \frac{-4}{2} \ \Rightarrow\ x = -2 \]
\[ 2\cdot(-2) + 15 = -4 + 15 = 11 \checkmark \]

Trying values of x in 2x + 15 = 11

x2x + 15Equals 11?
-47no
-39no
-211yes
-113no
015no

Questions

What is x in 2x + 15 = 11?

The solution of 2x + 15 = 11 is x = -2.

How do you solve 2x + 15 = 11?

Subtract 15 from both sides to get 2x = -4, then divide both sides by 2 to get x = -2.

How do I check the answer?

Replace x by -2: 2(-2) + 15 = 11, which is 11.

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    Solve 2x + 15 = 11: x = -2 (steps and check) | WordGPT