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Solve 10x + 2 = 42

The solution of 10x + 2 = 42 is x = 4.

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The lines y = 10x + 2 and y = 42 meet at x = 4-2246810-2020406080100x = 4y = 10x + 2y = 42
The lines y = 10x + 2 and y = 42 meet at x = 4. 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+2=4210x + 2 = 42
  2. 2

    Subtract 2 from both sides:

    10x+2−2=42−2 ⇒ 10x=4010x + 2 - 2 = 42 - 2 \ \Rightarrow\ 10x = 40
  3. 3

    Divide both sides by 10:

    10x10=4010 ⇒ x=4\frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    10⋅4+2=40+2=42✓10\cdot4 + 2 = 40 + 2 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 2 = 42\ \Rightarrow\ x = 4 \]
\[ 10x + 2 = 42 \]
\[ 10x + 2 - 2 = 42 - 2 \ \Rightarrow\ 10x = 40 \]
\[ \frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4 \]
\[ 10\cdot4 + 2 = 40 + 2 = 42 \checkmark \]

Trying values of x in 10x + 2 = 42

x10x + 2Equals 42?
222no
332no
442yes
552no
662no

Questions

What is x in 10x + 2 = 42?

The solution of 10x + 2 = 42 is x = 4.

How do you solve 10x + 2 = 42?

Subtract 2 from both sides to get 10x = 40, then divide both sides by 10 to get x = 4.

How do I check the answer?

Replace x by 4: 10(4) + 2 = 42, which is 42.

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    Solve 10x + 2 = 42: x = 4 (steps and check) | WordGPT