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Solve 5x + 11 = 31

The solution of 5x + 11 = 31 is x = 4.

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The lines y = 5x + 11 and y = 31 meet at x = 4-2246810102030405060x = 4y = 5x + 11y = 31
The lines y = 5x + 11 and y = 31 meet at x = 4. 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=315x + 11 = 31
  2. 2

    Subtract 11 from both sides:

    5x+11−11=31−11 ⇒ 5x=205x + 11 - 11 = 31 - 11 \ \Rightarrow\ 5x = 20
  3. 3

    Divide both sides by 5:

    5x5=205 ⇒ x=4\frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    5⋅4+11=20+11=31✓5\cdot4 + 11 = 20 + 11 = 31 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 11 = 31\ \Rightarrow\ x = 4 \]
\[ 5x + 11 = 31 \]
\[ 5x + 11 - 11 = 31 - 11 \ \Rightarrow\ 5x = 20 \]
\[ \frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4 \]
\[ 5\cdot4 + 11 = 20 + 11 = 31 \checkmark \]

Trying values of x in 5x + 11 = 31

x5x + 11Equals 31?
221no
326no
431yes
536no
641no

Questions

What is x in 5x + 11 = 31?

The solution of 5x + 11 = 31 is x = 4.

How do you solve 5x + 11 = 31?

Subtract 11 from both sides to get 5x = 20, then divide both sides by 5 to get x = 4.

How do I check the answer?

Replace x by 4: 5(4) + 11 = 31, which is 31.

Similar equations

    Solve 5x + 11 = 31: x = 4 (steps and check) | WordGPT