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Solve 10x + 13 = 123

The solution of 10x + 13 = 123 is x = 11.

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The lines y = 10x + 13 and y = 123 meet at x = 1168101214166080100120140160180x = 11y = 10x + 13y = 123
The lines y = 10x + 13 and y = 123 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.

    10x+13=12310x + 13 = 123
  2. 2

    Subtract 13 from both sides:

    10x+13−13=123−13 ⇒ 10x=11010x + 13 - 13 = 123 - 13 \ \Rightarrow\ 10x = 110
  3. 3

    Divide both sides by 10:

    10x10=11010 ⇒ x=11\frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    10⋅11+13=110+13=123✓10\cdot11 + 13 = 110 + 13 = 123 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 123\ \Rightarrow\ x = 11 \]
\[ 10x + 13 = 123 \]
\[ 10x + 13 - 13 = 123 - 13 \ \Rightarrow\ 10x = 110 \]
\[ \frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11 \]
\[ 10\cdot11 + 13 = 110 + 13 = 123 \checkmark \]

Trying values of x in 10x + 13 = 123

x10x + 13Equals 123?
9103no
10113no
11123yes
12133no
13143no

Questions

What is x in 10x + 13 = 123?

The solution of 10x + 13 = 123 is x = 11.

How do you solve 10x + 13 = 123?

Subtract 13 from both sides to get 10x = 110, then divide both sides by 10 to get x = 11.

How do I check the answer?

Replace x by 11: 10(11) + 13 = 123, which is 123.

Similar equations

    Solve 10x + 13 = 123: x = 11 (steps and check) | WordGPT