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Solve 12x + 6 = 162

The solution of 12x + 6 = 162 is x = 13.

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The lines y = 12x + 6 and y = 162 meet at x = 138101214161880100120140160180200220240x = 13y = 12x + 6y = 162
The lines y = 12x + 6 and y = 162 meet at x = 13. 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=16212x + 6 = 162
  2. 2

    Subtract 6 from both sides:

    12x+6−6=162−6 ⇒ 12x=15612x + 6 - 6 = 162 - 6 \ \Rightarrow\ 12x = 156
  3. 3

    Divide both sides by 12:

    12x12=15612 ⇒ x=13\frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    12⋅13+6=156+6=162✓12\cdot13 + 6 = 156 + 6 = 162 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 6 = 162\ \Rightarrow\ x = 13 \]
\[ 12x + 6 = 162 \]
\[ 12x + 6 - 6 = 162 - 6 \ \Rightarrow\ 12x = 156 \]
\[ \frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13 \]
\[ 12\cdot13 + 6 = 156 + 6 = 162 \checkmark \]

Trying values of x in 12x + 6 = 162

x12x + 6Equals 162?
11138no
12150no
13162yes
14174no
15186no

Questions

What is x in 12x + 6 = 162?

The solution of 12x + 6 = 162 is x = 13.

How do you solve 12x + 6 = 162?

Subtract 6 from both sides to get 12x = 156, then divide both sides by 12 to get x = 13.

How do I check the answer?

Replace x by 13: 12(13) + 6 = 162, which is 162.

Similar equations

    Solve 12x + 6 = 162: x = 13 (steps and check) | WordGPT