WordGPT

Solve 6x + 15 = 75

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

Explain it step by step in chatMake a short video of it
The lines y = 6x + 15 and y = 75 meet at x = 1046810121416405060708090100110x = 10y = 6x + 15y = 75
The lines y = 6x + 15 and y = 75 meet at x = 10. 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.

    6x+15=756x + 15 = 75
  2. 2

    Subtract 15 from both sides:

    6x+15−15=75−15 ⇒ 6x=606x + 15 - 15 = 75 - 15 \ \Rightarrow\ 6x = 60
  3. 3

    Divide both sides by 6:

    6x6=606 ⇒ x=10\frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    6⋅10+15=60+15=75✓6\cdot10 + 15 = 60 + 15 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 15 = 75\ \Rightarrow\ x = 10 \]
\[ 6x + 15 = 75 \]
\[ 6x + 15 - 15 = 75 - 15 \ \Rightarrow\ 6x = 60 \]
\[ \frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10 \]
\[ 6\cdot10 + 15 = 60 + 15 = 75 \checkmark \]

Trying values of x in 6x + 15 = 75

x6x + 15Equals 75?
863no
969no
1075yes
1181no
1287no

Questions

What is x in 6x + 15 = 75?

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

How do you solve 6x + 15 = 75?

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

How do I check the answer?

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

Similar equations

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