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Solve 10x + 2 = 202

The solution of 10x + 2 = 202 is x = 20.

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The lines y = 10x + 2 and y = 202 meet at x = 2014161820222426140160180200220240260x = 20y = 10x + 2y = 202
The lines y = 10x + 2 and y = 202 meet at x = 20. 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=20210x + 2 = 202
  2. 2

    Subtract 2 from both sides:

    10x+2−2=202−2 ⇒ 10x=20010x + 2 - 2 = 202 - 2 \ \Rightarrow\ 10x = 200
  3. 3

    Divide both sides by 10:

    10x10=20010 ⇒ x=20\frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    10⋅20+2=200+2=202✓10\cdot20 + 2 = 200 + 2 = 202 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 2 = 202\ \Rightarrow\ x = 20 \]
\[ 10x + 2 = 202 \]
\[ 10x + 2 - 2 = 202 - 2 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 + 2 = 200 + 2 = 202 \checkmark \]

Trying values of x in 10x + 2 = 202

x10x + 2Equals 202?
18182no
19192no
20202yes
21212no
22222no

Questions

What is x in 10x + 2 = 202?

The solution of 10x + 2 = 202 is x = 20.

How do you solve 10x + 2 = 202?

Subtract 2 from both sides to get 10x = 200, then divide both sides by 10 to get x = 20.

How do I check the answer?

Replace x by 20: 10(20) + 2 = 202, which is 202.

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    Solve 10x + 2 = 202: x = 20 (steps and check) | WordGPT