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Solve 10x + 13 = 83

The solution of 10x + 13 = 83 is x = 7.

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The lines y = 10x + 13 and y = 83 meet at x = 72468101220406080100120140x = 7y = 10x + 13y = 83
The lines y = 10x + 13 and y = 83 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.

    10x+13=8310x + 13 = 83
  2. 2

    Subtract 13 from both sides:

    10x+13−13=83−13 ⇒ 10x=7010x + 13 - 13 = 83 - 13 \ \Rightarrow\ 10x = 70
  3. 3

    Divide both sides by 10:

    10x10=7010 ⇒ x=7\frac{10x}{10} = \frac{70}{10} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    10⋅7+13=70+13=83✓10\cdot7 + 13 = 70 + 13 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 83\ \Rightarrow\ x = 7 \]
\[ 10x + 13 = 83 \]
\[ 10x + 13 - 13 = 83 - 13 \ \Rightarrow\ 10x = 70 \]
\[ \frac{10x}{10} = \frac{70}{10} \ \Rightarrow\ x = 7 \]
\[ 10\cdot7 + 13 = 70 + 13 = 83 \checkmark \]

Trying values of x in 10x + 13 = 83

x10x + 13Equals 83?
563no
673no
783yes
893no
9103no

Questions

What is x in 10x + 13 = 83?

The solution of 10x + 13 = 83 is x = 7.

How do you solve 10x + 13 = 83?

Subtract 13 from both sides to get 10x = 70, then divide both sides by 10 to get x = 7.

How do I check the answer?

Replace x by 7: 10(7) + 13 = 83, which is 83.

Similar equations

    Solve 10x + 13 = 83: x = 7 (steps and check) | WordGPT