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Solve 5x + 11 = 16

The solution of 5x + 11 = 16 is x = 1.

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The lines y = 5x + 11 and y = 16 meet at x = 1-4-2246-20-101020304050x = 1y = 5x + 11y = 16
The lines y = 5x + 11 and y = 16 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.

    5x+11=165x + 11 = 16
  2. 2

    Subtract 11 from both sides:

    5x+11−11=16−11 ⇒ 5x=55x + 11 - 11 = 16 - 11 \ \Rightarrow\ 5x = 5
  3. 3

    Divide both sides by 5:

    5x5=55 ⇒ x=1\frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    5⋅1+11=5+11=16✓5\cdot1 + 11 = 5 + 11 = 16 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 11 = 16\ \Rightarrow\ x = 1 \]
\[ 5x + 11 = 16 \]
\[ 5x + 11 - 11 = 16 - 11 \ \Rightarrow\ 5x = 5 \]
\[ \frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1 \]
\[ 5\cdot1 + 11 = 5 + 11 = 16 \checkmark \]

Trying values of x in 5x + 11 = 16

x5x + 11Equals 16?
-16no
011no
116yes
221no
326no

Questions

What is x in 5x + 11 = 16?

The solution of 5x + 11 = 16 is x = 1.

How do you solve 5x + 11 = 16?

Subtract 11 from both sides to get 5x = 5, then divide both sides by 5 to get x = 1.

How do I check the answer?

Replace x by 1: 5(1) + 11 = 16, which is 16.

Similar equations

    Solve 5x + 11 = 16: x = 1 (steps and check) | WordGPT