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Solve 5x + 13 = 68

The solution of 5x + 13 = 68 is x = 11.

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The lines y = 5x + 13 and y = 68 meet at x = 116810121416405060708090100x = 11y = 5x + 13y = 68
The lines y = 5x + 13 and y = 68 meet at x = 11. 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=685x + 13 = 68
  2. 2

    Subtract 13 from both sides:

    5x+13−13=68−13 ⇒ 5x=555x + 13 - 13 = 68 - 13 \ \Rightarrow\ 5x = 55
  3. 3

    Divide both sides by 5:

    5x5=555 ⇒ x=11\frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    5⋅11+13=55+13=68✓5\cdot11 + 13 = 55 + 13 = 68 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 68\ \Rightarrow\ x = 11 \]
\[ 5x + 13 = 68 \]
\[ 5x + 13 - 13 = 68 - 13 \ \Rightarrow\ 5x = 55 \]
\[ \frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11 \]
\[ 5\cdot11 + 13 = 55 + 13 = 68 \checkmark \]

Trying values of x in 5x + 13 = 68

x5x + 13Equals 68?
958no
1063no
1168yes
1273no
1378no

Questions

What is x in 5x + 13 = 68?

The solution of 5x + 13 = 68 is x = 11.

How do you solve 5x + 13 = 68?

Subtract 13 from both sides to get 5x = 55, then divide both sides by 5 to get x = 11.

How do I check the answer?

Replace x by 11: 5(11) + 13 = 68, which is 68.

Similar equations

    Solve 5x + 13 = 68: x = 11 (steps and check) | WordGPT