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Solve 10x + 6 = 206

The solution of 10x + 6 = 206 is x = 20.

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The lines y = 10x + 6 and y = 206 meet at x = 2014161820222426140160180200220240260x = 20y = 10x + 6y = 206
The lines y = 10x + 6 and y = 206 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+6=20610x + 6 = 206
  2. 2

    Subtract 6 from both sides:

    10x+6−6=206−6 ⇒ 10x=20010x + 6 - 6 = 206 - 6 \ \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+6=200+6=206✓10\cdot20 + 6 = 200 + 6 = 206 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 6 = 206\ \Rightarrow\ x = 20 \]
\[ 10x + 6 = 206 \]
\[ 10x + 6 - 6 = 206 - 6 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 + 6 = 200 + 6 = 206 \checkmark \]

Trying values of x in 10x + 6 = 206

x10x + 6Equals 206?
18186no
19196no
20206yes
21216no
22226no

Questions

What is x in 10x + 6 = 206?

The solution of 10x + 6 = 206 is x = 20.

How do you solve 10x + 6 = 206?

Subtract 6 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) + 6 = 206, which is 206.

Similar equations

    Solve 10x + 6 = 206: x = 20 (steps and check) | WordGPT