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Solve 10x + 15 = 105

The solution of 10x + 15 = 105 is x = 9.

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The lines y = 10x + 15 and y = 105 meet at x = 9468101214406080100120140160x = 9y = 10x + 15y = 105
The lines y = 10x + 15 and y = 105 meet at x = 9. 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=10510x + 15 = 105
  2. 2

    Subtract 15 from both sides:

    10x+15−15=105−15 ⇒ 10x=9010x + 15 - 15 = 105 - 15 \ \Rightarrow\ 10x = 90
  3. 3

    Divide both sides by 10:

    10x10=9010 ⇒ x=9\frac{10x}{10} = \frac{90}{10} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    10⋅9+15=90+15=105✓10\cdot9 + 15 = 90 + 15 = 105 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 15 = 105\ \Rightarrow\ x = 9 \]
\[ 10x + 15 = 105 \]
\[ 10x + 15 - 15 = 105 - 15 \ \Rightarrow\ 10x = 90 \]
\[ \frac{10x}{10} = \frac{90}{10} \ \Rightarrow\ x = 9 \]
\[ 10\cdot9 + 15 = 90 + 15 = 105 \checkmark \]

Trying values of x in 10x + 15 = 105

x10x + 15Equals 105?
785no
895no
9105yes
10115no
11125no

Questions

What is x in 10x + 15 = 105?

The solution of 10x + 15 = 105 is x = 9.

How do you solve 10x + 15 = 105?

Subtract 15 from both sides to get 10x = 90, then divide both sides by 10 to get x = 9.

How do I check the answer?

Replace x by 9: 10(9) + 15 = 105, which is 105.

Similar equations

    Solve 10x + 15 = 105: x = 9 (steps and check) | WordGPT