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Solve 5x + 11 = 56

The solution of 5x + 11 = 56 is x = 9.

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The lines y = 5x + 11 and y = 56 meet at x = 94681012142030405060708090x = 9y = 5x + 11y = 56
The lines y = 5x + 11 and y = 56 meet at x = 9. 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=565x + 11 = 56
  2. 2

    Subtract 11 from both sides:

    5x+11−11=56−11 ⇒ 5x=455x + 11 - 11 = 56 - 11 \ \Rightarrow\ 5x = 45
  3. 3

    Divide both sides by 5:

    5x5=455 ⇒ x=9\frac{5x}{5} = \frac{45}{5} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    5⋅9+11=45+11=56✓5\cdot9 + 11 = 45 + 11 = 56 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 11 = 56\ \Rightarrow\ x = 9 \]
\[ 5x + 11 = 56 \]
\[ 5x + 11 - 11 = 56 - 11 \ \Rightarrow\ 5x = 45 \]
\[ \frac{5x}{5} = \frac{45}{5} \ \Rightarrow\ x = 9 \]
\[ 5\cdot9 + 11 = 45 + 11 = 56 \checkmark \]

Trying values of x in 5x + 11 = 56

x5x + 11Equals 56?
746no
851no
956yes
1061no
1166no

Questions

What is x in 5x + 11 = 56?

The solution of 5x + 11 = 56 is x = 9.

How do you solve 5x + 11 = 56?

Subtract 11 from both sides to get 5x = 45, then divide both sides by 5 to get x = 9.

How do I check the answer?

Replace x by 9: 5(9) + 11 = 56, which is 56.

Similar equations

    Solve 5x + 11 = 56: x = 9 (steps and check) | WordGPT