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Solve 10x + 5 = 205

The solution of 10x + 5 = 205 is x = 20.

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The lines y = 10x + 5 and y = 205 meet at x = 2014161820222426140160180200220240260x = 20y = 10x + 5y = 205
The lines y = 10x + 5 and y = 205 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+5=20510x + 5 = 205
  2. 2

    Subtract 5 from both sides:

    10x+5−5=205−5 ⇒ 10x=20010x + 5 - 5 = 205 - 5 \ \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+5=200+5=205✓10\cdot20 + 5 = 200 + 5 = 205 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 5 = 205\ \Rightarrow\ x = 20 \]
\[ 10x + 5 = 205 \]
\[ 10x + 5 - 5 = 205 - 5 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 + 5 = 200 + 5 = 205 \checkmark \]

Trying values of x in 10x + 5 = 205

x10x + 5Equals 205?
18185no
19195no
20205yes
21215no
22225no

Questions

What is x in 10x + 5 = 205?

The solution of 10x + 5 = 205 is x = 20.

How do you solve 10x + 5 = 205?

Subtract 5 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) + 5 = 205, which is 205.

Similar equations

    Solve 10x + 5 = 205: x = 20 (steps and check) | WordGPT