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Solve 5x + 11 = 46

The solution of 5x + 11 = 46 is x = 7.

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The lines y = 5x + 11 and y = 46 meet at x = 7246810121020304050607080x = 7y = 5x + 11y = 46
The lines y = 5x + 11 and y = 46 meet at x = 7. 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=465x + 11 = 46
  2. 2

    Subtract 11 from both sides:

    5x+11−11=46−11 ⇒ 5x=355x + 11 - 11 = 46 - 11 \ \Rightarrow\ 5x = 35
  3. 3

    Divide both sides by 5:

    5x5=355 ⇒ x=7\frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    5⋅7+11=35+11=46✓5\cdot7 + 11 = 35 + 11 = 46 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 11 = 46\ \Rightarrow\ x = 7 \]
\[ 5x + 11 = 46 \]
\[ 5x + 11 - 11 = 46 - 11 \ \Rightarrow\ 5x = 35 \]
\[ \frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7 \]
\[ 5\cdot7 + 11 = 35 + 11 = 46 \checkmark \]

Trying values of x in 5x + 11 = 46

x5x + 11Equals 46?
536no
641no
746yes
851no
956no

Questions

What is x in 5x + 11 = 46?

The solution of 5x + 11 = 46 is x = 7.

How do you solve 5x + 11 = 46?

Subtract 11 from both sides to get 5x = 35, then divide both sides by 5 to get x = 7.

How do I check the answer?

Replace x by 7: 5(7) + 11 = 46, which is 46.

Similar equations

    Solve 5x + 11 = 46: x = 7 (steps and check) | WordGPT