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Solve 3x + 11 = 56

The solution of 3x + 11 = 56 is x = 15.

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The lines y = 3x + 11 and y = 56 meet at x = 15101214161820354045505560657075x = 15y = 3x + 11y = 56
The lines y = 3x + 11 and y = 56 meet at x = 15. 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.

    3x+11=563x + 11 = 56
  2. 2

    Subtract 11 from both sides:

    3x+11−11=56−11 ⇒ 3x=453x + 11 - 11 = 56 - 11 \ \Rightarrow\ 3x = 45
  3. 3

    Divide both sides by 3:

    3x3=453 ⇒ x=15\frac{3x}{3} = \frac{45}{3} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    3⋅15+11=45+11=56✓3\cdot15 + 11 = 45 + 11 = 56 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 11 = 56\ \Rightarrow\ x = 15 \]
\[ 3x + 11 = 56 \]
\[ 3x + 11 - 11 = 56 - 11 \ \Rightarrow\ 3x = 45 \]
\[ \frac{3x}{3} = \frac{45}{3} \ \Rightarrow\ x = 15 \]
\[ 3\cdot15 + 11 = 45 + 11 = 56 \checkmark \]

Trying values of x in 3x + 11 = 56

x3x + 11Equals 56?
1350no
1453no
1556yes
1659no
1762no

Questions

What is x in 3x + 11 = 56?

The solution of 3x + 11 = 56 is x = 15.

How do you solve 3x + 11 = 56?

Subtract 11 from both sides to get 3x = 45, then divide both sides by 3 to get x = 15.

How do I check the answer?

Replace x by 15: 3(15) + 11 = 56, which is 56.

Similar equations

    Solve 3x + 11 = 56: x = 15 (steps and check) | WordGPT