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Solve 5x + 11 = 51

The solution of 5x + 11 = 51 is x = 8.

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The lines y = 5x + 11 and y = 51 meet at x = 8246810121420304050607080x = 8y = 5x + 11y = 51
The lines y = 5x + 11 and y = 51 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.

    5x+11=515x + 11 = 51
  2. 2

    Subtract 11 from both sides:

    5x+11−11=51−11 ⇒ 5x=405x + 11 - 11 = 51 - 11 \ \Rightarrow\ 5x = 40
  3. 3

    Divide both sides by 5:

    5x5=405 ⇒ x=8\frac{5x}{5} = \frac{40}{5} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    5⋅8+11=40+11=51✓5\cdot8 + 11 = 40 + 11 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 11 = 51\ \Rightarrow\ x = 8 \]
\[ 5x + 11 = 51 \]
\[ 5x + 11 - 11 = 51 - 11 \ \Rightarrow\ 5x = 40 \]
\[ \frac{5x}{5} = \frac{40}{5} \ \Rightarrow\ x = 8 \]
\[ 5\cdot8 + 11 = 40 + 11 = 51 \checkmark \]

Trying values of x in 5x + 11 = 51

x5x + 11Equals 51?
641no
746no
851yes
956no
1061no

Questions

What is x in 5x + 11 = 51?

The solution of 5x + 11 = 51 is x = 8.

How do you solve 5x + 11 = 51?

Subtract 11 from both sides to get 5x = 40, then divide both sides by 5 to get x = 8.

How do I check the answer?

Replace x by 8: 5(8) + 11 = 51, which is 51.

Similar equations

    Solve 5x + 11 = 51: x = 8 (steps and check) | WordGPT