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Solve 5x + 13 = 43

The solution of 5x + 13 = 43 is x = 6.

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The lines y = 5x + 13 and y = 43 meet at x = 62468101210203040506070x = 6y = 5x + 13y = 43
The lines y = 5x + 13 and y = 43 meet at x = 6. 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+13=435x + 13 = 43
  2. 2

    Subtract 13 from both sides:

    5x+13−13=43−13 ⇒ 5x=305x + 13 - 13 = 43 - 13 \ \Rightarrow\ 5x = 30
  3. 3

    Divide both sides by 5:

    5x5=305 ⇒ x=6\frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    5⋅6+13=30+13=43✓5\cdot6 + 13 = 30 + 13 = 43 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 43\ \Rightarrow\ x = 6 \]
\[ 5x + 13 = 43 \]
\[ 5x + 13 - 13 = 43 - 13 \ \Rightarrow\ 5x = 30 \]
\[ \frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6 \]
\[ 5\cdot6 + 13 = 30 + 13 = 43 \checkmark \]

Trying values of x in 5x + 13 = 43

x5x + 13Equals 43?
433no
538no
643yes
748no
853no

Questions

What is x in 5x + 13 = 43?

The solution of 5x + 13 = 43 is x = 6.

How do you solve 5x + 13 = 43?

Subtract 13 from both sides to get 5x = 30, then divide both sides by 5 to get x = 6.

How do I check the answer?

Replace x by 6: 5(6) + 13 = 43, which is 43.

Similar equations

    Solve 5x + 13 = 43: x = 6 (steps and check) | WordGPT