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Solve 12x + 6 = 198

The solution of 12x + 6 = 198 is x = 16.

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The lines y = 12x + 6 and y = 198 meet at x = 1610121416182022120140160180200220240260280x = 16y = 12x + 6y = 198
The lines y = 12x + 6 and y = 198 meet at x = 16. 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+6=19812x + 6 = 198
  2. 2

    Subtract 6 from both sides:

    12x+6−6=198−6 ⇒ 12x=19212x + 6 - 6 = 198 - 6 \ \Rightarrow\ 12x = 192
  3. 3

    Divide both sides by 12:

    12x12=19212 ⇒ x=16\frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    12⋅16+6=192+6=198✓12\cdot16 + 6 = 192 + 6 = 198 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 6 = 198\ \Rightarrow\ x = 16 \]
\[ 12x + 6 = 198 \]
\[ 12x + 6 - 6 = 198 - 6 \ \Rightarrow\ 12x = 192 \]
\[ \frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16 \]
\[ 12\cdot16 + 6 = 192 + 6 = 198 \checkmark \]

Trying values of x in 12x + 6 = 198

x12x + 6Equals 198?
14174no
15186no
16198yes
17210no
18222no

Questions

What is x in 12x + 6 = 198?

The solution of 12x + 6 = 198 is x = 16.

How do you solve 12x + 6 = 198?

Subtract 6 from both sides to get 12x = 192, then divide both sides by 12 to get x = 16.

How do I check the answer?

Replace x by 16: 12(16) + 6 = 198, which is 198.

Similar equations

    Solve 12x + 6 = 198: x = 16 (steps and check) | WordGPT