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Solve 12x + 6 = 150

The solution of 12x + 6 = 150 is x = 12.

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The lines y = 12x + 6 and y = 150 meet at x = 1268101214161880100120140160180200220x = 12y = 12x + 6y = 150
The lines y = 12x + 6 and y = 150 meet at x = 12. 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=15012x + 6 = 150
  2. 2

    Subtract 6 from both sides:

    12x+6−6=150−6 ⇒ 12x=14412x + 6 - 6 = 150 - 6 \ \Rightarrow\ 12x = 144
  3. 3

    Divide both sides by 12:

    12x12=14412 ⇒ x=12\frac{12x}{12} = \frac{144}{12} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    12⋅12+6=144+6=150✓12\cdot12 + 6 = 144 + 6 = 150 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 6 = 150\ \Rightarrow\ x = 12 \]
\[ 12x + 6 = 150 \]
\[ 12x + 6 - 6 = 150 - 6 \ \Rightarrow\ 12x = 144 \]
\[ \frac{12x}{12} = \frac{144}{12} \ \Rightarrow\ x = 12 \]
\[ 12\cdot12 + 6 = 144 + 6 = 150 \checkmark \]

Trying values of x in 12x + 6 = 150

x12x + 6Equals 150?
10126no
11138no
12150yes
13162no
14174no

Questions

What is x in 12x + 6 = 150?

The solution of 12x + 6 = 150 is x = 12.

How do you solve 12x + 6 = 150?

Subtract 6 from both sides to get 12x = 144, then divide both sides by 12 to get x = 12.

How do I check the answer?

Replace x by 12: 12(12) + 6 = 150, which is 150.

Similar equations

    Solve 12x + 6 = 150: x = 12 (steps and check) | WordGPT