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Solve 10x + 15 = 205

The solution of 10x + 15 = 205 is x = 19.

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The lines y = 10x + 15 and y = 205 meet at x = 19141618202224140160180200220240260x = 19y = 10x + 15y = 205
The lines y = 10x + 15 and y = 205 meet at x = 19. 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+15=20510x + 15 = 205
  2. 2

    Subtract 15 from both sides:

    10x+15−15=205−15 ⇒ 10x=19010x + 15 - 15 = 205 - 15 \ \Rightarrow\ 10x = 190
  3. 3

    Divide both sides by 10:

    10x10=19010 ⇒ x=19\frac{10x}{10} = \frac{190}{10} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    10⋅19+15=190+15=205✓10\cdot19 + 15 = 190 + 15 = 205 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 15 = 205\ \Rightarrow\ x = 19 \]
\[ 10x + 15 = 205 \]
\[ 10x + 15 - 15 = 205 - 15 \ \Rightarrow\ 10x = 190 \]
\[ \frac{10x}{10} = \frac{190}{10} \ \Rightarrow\ x = 19 \]
\[ 10\cdot19 + 15 = 190 + 15 = 205 \checkmark \]

Trying values of x in 10x + 15 = 205

x10x + 15Equals 205?
17185no
18195no
19205yes
20215no
21225no

Questions

What is x in 10x + 15 = 205?

The solution of 10x + 15 = 205 is x = 19.

How do you solve 10x + 15 = 205?

Subtract 15 from both sides to get 10x = 190, then divide both sides by 10 to get x = 19.

How do I check the answer?

Replace x by 19: 10(19) + 15 = 205, which is 205.

Similar equations

    Solve 10x + 15 = 205: x = 19 (steps and check) | WordGPT