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Solve 10x + 15 = 75

The solution of 10x + 15 = 75 is x = 6.

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The lines y = 10x + 15 and y = 75 meet at x = 62468101220406080100120140x = 6y = 10x + 15y = 75
The lines y = 10x + 15 and y = 75 meet at x = 6. 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=7510x + 15 = 75
  2. 2

    Subtract 15 from both sides:

    10x+15−15=75−15 ⇒ 10x=6010x + 15 - 15 = 75 - 15 \ \Rightarrow\ 10x = 60
  3. 3

    Divide both sides by 10:

    10x10=6010 ⇒ x=6\frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    10⋅6+15=60+15=75✓10\cdot6 + 15 = 60 + 15 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 15 = 75\ \Rightarrow\ x = 6 \]
\[ 10x + 15 = 75 \]
\[ 10x + 15 - 15 = 75 - 15 \ \Rightarrow\ 10x = 60 \]
\[ \frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6 \]
\[ 10\cdot6 + 15 = 60 + 15 = 75 \checkmark \]

Trying values of x in 10x + 15 = 75

x10x + 15Equals 75?
455no
565no
675yes
785no
895no

Questions

What is x in 10x + 15 = 75?

The solution of 10x + 15 = 75 is x = 6.

How do you solve 10x + 15 = 75?

Subtract 15 from both sides to get 10x = 60, then divide both sides by 10 to get x = 6.

How do I check the answer?

Replace x by 6: 10(6) + 15 = 75, which is 75.

Similar equations

    Solve 10x + 15 = 75: x = 6 (steps and check) | WordGPT