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Solve 10x + 12 = 42

The solution of 10x + 12 = 42 is x = 3.

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The lines y = 10x + 12 and y = 42 meet at x = 3-22468-2020406080100x = 3y = 10x + 12y = 42
The lines y = 10x + 12 and y = 42 meet at x = 3. 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=4210x + 12 = 42
  2. 2

    Subtract 12 from both sides:

    10x+12−12=42−12 ⇒ 10x=3010x + 12 - 12 = 42 - 12 \ \Rightarrow\ 10x = 30
  3. 3

    Divide both sides by 10:

    10x10=3010 ⇒ x=3\frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    10⋅3+12=30+12=42✓10\cdot3 + 12 = 30 + 12 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 12 = 42\ \Rightarrow\ x = 3 \]
\[ 10x + 12 = 42 \]
\[ 10x + 12 - 12 = 42 - 12 \ \Rightarrow\ 10x = 30 \]
\[ \frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3 \]
\[ 10\cdot3 + 12 = 30 + 12 = 42 \checkmark \]

Trying values of x in 10x + 12 = 42

x10x + 12Equals 42?
122no
232no
342yes
452no
562no

Questions

What is x in 10x + 12 = 42?

The solution of 10x + 12 = 42 is x = 3.

How do you solve 10x + 12 = 42?

Subtract 12 from both sides to get 10x = 30, then divide both sides by 10 to get x = 3.

How do I check the answer?

Replace x by 3: 10(3) + 12 = 42, which is 42.

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    Solve 10x + 12 = 42: x = 3 (steps and check) | WordGPT