WordGPT

Solve 12x + 15 = 75

The solution of 12x + 15 = 75 is x = 5.

Explain it step by step in chatMake a short video of it
The lines y = 12x + 15 and y = 75 meet at x = 524681020406080100120140160x = 5y = 12x + 15y = 75
The lines y = 12x + 15 and y = 75 meet at x = 5. 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.

    12x+15=7512x + 15 = 75
  2. 2

    Subtract 15 from both sides:

    12x+15−15=75−15 ⇒ 12x=6012x + 15 - 15 = 75 - 15 \ \Rightarrow\ 12x = 60
  3. 3

    Divide both sides by 12:

    12x12=6012 ⇒ x=5\frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    12⋅5+15=60+15=75✓12\cdot5 + 15 = 60 + 15 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 15 = 75\ \Rightarrow\ x = 5 \]
\[ 12x + 15 = 75 \]
\[ 12x + 15 - 15 = 75 - 15 \ \Rightarrow\ 12x = 60 \]
\[ \frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5 \]
\[ 12\cdot5 + 15 = 60 + 15 = 75 \checkmark \]

Trying values of x in 12x + 15 = 75

x12x + 15Equals 75?
351no
463no
575yes
687no
799no

Questions

What is x in 12x + 15 = 75?

The solution of 12x + 15 = 75 is x = 5.

How do you solve 12x + 15 = 75?

Subtract 15 from both sides to get 12x = 60, then divide both sides by 12 to get x = 5.

How do I check the answer?

Replace x by 5: 12(5) + 15 = 75, which is 75.

Similar equations

    Solve 12x + 15 = 75: x = 5 (steps and check) | WordGPT