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Solve 10x + 12 = 142

The solution of 10x + 12 = 142 is x = 13.

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The lines y = 10x + 12 and y = 142 meet at x = 138101214161880100120140160180200x = 13y = 10x + 12y = 142
The lines y = 10x + 12 and y = 142 meet at x = 13. 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+12=14210x + 12 = 142
  2. 2

    Subtract 12 from both sides:

    10x+12−12=142−12 ⇒ 10x=13010x + 12 - 12 = 142 - 12 \ \Rightarrow\ 10x = 130
  3. 3

    Divide both sides by 10:

    10x10=13010 ⇒ x=13\frac{10x}{10} = \frac{130}{10} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    10⋅13+12=130+12=142✓10\cdot13 + 12 = 130 + 12 = 142 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 12 = 142\ \Rightarrow\ x = 13 \]
\[ 10x + 12 = 142 \]
\[ 10x + 12 - 12 = 142 - 12 \ \Rightarrow\ 10x = 130 \]
\[ \frac{10x}{10} = \frac{130}{10} \ \Rightarrow\ x = 13 \]
\[ 10\cdot13 + 12 = 130 + 12 = 142 \checkmark \]

Trying values of x in 10x + 12 = 142

x10x + 12Equals 142?
11122no
12132no
13142yes
14152no
15162no

Questions

What is x in 10x + 12 = 142?

The solution of 10x + 12 = 142 is x = 13.

How do you solve 10x + 12 = 142?

Subtract 12 from both sides to get 10x = 130, then divide both sides by 10 to get x = 13.

How do I check the answer?

Replace x by 13: 10(13) + 12 = 142, which is 142.

Similar equations

    Solve 10x + 12 = 142: x = 13 (steps and check) | WordGPT