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Solve 10x + 15 = 175

The solution of 10x + 15 = 175 is x = 16.

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The lines y = 10x + 15 and y = 175 meet at x = 1610121416182022120140160180200220240x = 16y = 10x + 15y = 175
The lines y = 10x + 15 and y = 175 meet at x = 16. 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=17510x + 15 = 175
  2. 2

    Subtract 15 from both sides:

    10x+15−15=175−15 ⇒ 10x=16010x + 15 - 15 = 175 - 15 \ \Rightarrow\ 10x = 160
  3. 3

    Divide both sides by 10:

    10x10=16010 ⇒ x=16\frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    10⋅16+15=160+15=175✓10\cdot16 + 15 = 160 + 15 = 175 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 15 = 175\ \Rightarrow\ x = 16 \]
\[ 10x + 15 = 175 \]
\[ 10x + 15 - 15 = 175 - 15 \ \Rightarrow\ 10x = 160 \]
\[ \frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16 \]
\[ 10\cdot16 + 15 = 160 + 15 = 175 \checkmark \]

Trying values of x in 10x + 15 = 175

x10x + 15Equals 175?
14155no
15165no
16175yes
17185no
18195no

Questions

What is x in 10x + 15 = 175?

The solution of 10x + 15 = 175 is x = 16.

How do you solve 10x + 15 = 175?

Subtract 15 from both sides to get 10x = 160, then divide both sides by 10 to get x = 16.

How do I check the answer?

Replace x by 16: 10(16) + 15 = 175, which is 175.

Similar equations

    Solve 10x + 15 = 175: x = 16 (steps and check) | WordGPT