WordGPT

Solve 12x + 4 = 208

The solution of 12x + 4 = 208 is x = 17.

Explain it step by step in chatMake a short video of it
The lines y = 12x + 4 and y = 208 meet at x = 17121416182022140160180200220240260280x = 17y = 12x + 4y = 208
The lines y = 12x + 4 and y = 208 meet at x = 17. 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+4=20812x + 4 = 208
  2. 2

    Subtract 4 from both sides:

    12x+4−4=208−4 ⇒ 12x=20412x + 4 - 4 = 208 - 4 \ \Rightarrow\ 12x = 204
  3. 3

    Divide both sides by 12:

    12x12=20412 ⇒ x=17\frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    12⋅17+4=204+4=208✓12\cdot17 + 4 = 204 + 4 = 208 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 4 = 208\ \Rightarrow\ x = 17 \]
\[ 12x + 4 = 208 \]
\[ 12x + 4 - 4 = 208 - 4 \ \Rightarrow\ 12x = 204 \]
\[ \frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17 \]
\[ 12\cdot17 + 4 = 204 + 4 = 208 \checkmark \]

Trying values of x in 12x + 4 = 208

x12x + 4Equals 208?
15184no
16196no
17208yes
18220no
19232no

Questions

What is x in 12x + 4 = 208?

The solution of 12x + 4 = 208 is x = 17.

How do you solve 12x + 4 = 208?

Subtract 4 from both sides to get 12x = 204, then divide both sides by 12 to get x = 17.

How do I check the answer?

Replace x by 17: 12(17) + 4 = 208, which is 208.

Similar equations

    Solve 12x + 4 = 208: x = 17 (steps and check) | WordGPT