WordGPT

Solve 3x + 15 = 75

The solution of 3x + 15 = 75 is x = 20.

The lines y = 3x + 15 and y = 75 meet at x = 2014161820222426556065707580859095x = 20y = 3x + 15y = 75
The lines y = 3x + 15 and y = 75 meet at x = 20. 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.

    3x+15=753x + 15 = 75
  2. 2

    Subtract 15 from both sides:

    3x+15−15=75−15 ⇒ 3x=603x + 15 - 15 = 75 - 15 \ \Rightarrow\ 3x = 60
  3. 3

    Divide both sides by 3:

    3x3=603 ⇒ x=20\frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    3⋅20+15=60+15=75✓3\cdot20 + 15 = 60 + 15 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 15 = 75\ \Rightarrow\ x = 20 \]
\[ 3x + 15 = 75 \]
\[ 3x + 15 - 15 = 75 - 15 \ \Rightarrow\ 3x = 60 \]
\[ \frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20 \]
\[ 3\cdot20 + 15 = 60 + 15 = 75 \checkmark \]

Trying values of x in 3x + 15 = 75

x3x + 15Equals 75?
1869no
1972no
2075yes
2178no
2281no

Questions

What is x in 3x + 15 = 75?

The solution of 3x + 15 = 75 is x = 20.

How do you solve 3x + 15 = 75?

Subtract 15 from both sides to get 3x = 60, then divide both sides by 3 to get x = 20.

How do I check the answer?

Replace x by 20: 3(20) + 15 = 75, which is 75.

Similar equations

    Solve 3x + 15 = 75: x = 20 (steps and check) | WordGPT