WordGPT

Solve 6x + 12 = 120

The solution of 6x + 12 = 120 is x = 18.

Explain it step by step in chatMake a short video of it
The lines y = 6x + 12 and y = 120 meet at x = 18121416182022248090100110120130140150160x = 18y = 6x + 12y = 120
The lines y = 6x + 12 and y = 120 meet at x = 18. 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+12=1206x + 12 = 120
  2. 2

    Subtract 12 from both sides:

    6x+12−12=120−12 ⇒ 6x=1086x + 12 - 12 = 120 - 12 \ \Rightarrow\ 6x = 108
  3. 3

    Divide both sides by 6:

    6x6=1086 ⇒ x=18\frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    6⋅18+12=108+12=120✓6\cdot18 + 12 = 108 + 12 = 120 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 12 = 120\ \Rightarrow\ x = 18 \]
\[ 6x + 12 = 120 \]
\[ 6x + 12 - 12 = 120 - 12 \ \Rightarrow\ 6x = 108 \]
\[ \frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18 \]
\[ 6\cdot18 + 12 = 108 + 12 = 120 \checkmark \]

Trying values of x in 6x + 12 = 120

x6x + 12Equals 120?
16108no
17114no
18120yes
19126no
20132no

Questions

What is x in 6x + 12 = 120?

The solution of 6x + 12 = 120 is x = 18.

How do you solve 6x + 12 = 120?

Subtract 12 from both sides to get 6x = 108, then divide both sides by 6 to get x = 18.

How do I check the answer?

Replace x by 18: 6(18) + 12 = 120, which is 120.

Similar equations

    Solve 6x + 12 = 120: x = 18 (steps and check) | WordGPT