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Solve 10x + 13 = 93

The solution of 10x + 13 = 93 is x = 8.

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The lines y = 10x + 13 and y = 93 meet at x = 82468101214406080100120140160x = 8y = 10x + 13y = 93
The lines y = 10x + 13 and y = 93 meet at x = 8. 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=9310x + 13 = 93
  2. 2

    Subtract 13 from both sides:

    10x+13−13=93−13 ⇒ 10x=8010x + 13 - 13 = 93 - 13 \ \Rightarrow\ 10x = 80
  3. 3

    Divide both sides by 10:

    10x10=8010 ⇒ x=8\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    10⋅8+13=80+13=93✓10\cdot8 + 13 = 80 + 13 = 93 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 93\ \Rightarrow\ x = 8 \]
\[ 10x + 13 = 93 \]
\[ 10x + 13 - 13 = 93 - 13 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 + 13 = 80 + 13 = 93 \checkmark \]

Trying values of x in 10x + 13 = 93

x10x + 13Equals 93?
673no
783no
893yes
9103no
10113no

Questions

What is x in 10x + 13 = 93?

The solution of 10x + 13 = 93 is x = 8.

How do you solve 10x + 13 = 93?

Subtract 13 from both sides to get 10x = 80, then divide both sides by 10 to get x = 8.

How do I check the answer?

Replace x by 8: 10(8) + 13 = 93, which is 93.

Similar equations

    Solve 10x + 13 = 93: x = 8 (steps and check) | WordGPT