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Solve 12x + 5 = 161

The solution of 12x + 5 = 161 is x = 13.

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The lines y = 12x + 5 and y = 161 meet at x = 138101214161880100120140160180200220240x = 13y = 12x + 5y = 161
The lines y = 12x + 5 and y = 161 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+5=16112x + 5 = 161
  2. 2

    Subtract 5 from both sides:

    12x+5−5=161−5 ⇒ 12x=15612x + 5 - 5 = 161 - 5 \ \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+5=156+5=161✓12\cdot13 + 5 = 156 + 5 = 161 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 5 = 161\ \Rightarrow\ x = 13 \]
\[ 12x + 5 = 161 \]
\[ 12x + 5 - 5 = 161 - 5 \ \Rightarrow\ 12x = 156 \]
\[ \frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13 \]
\[ 12\cdot13 + 5 = 156 + 5 = 161 \checkmark \]

Trying values of x in 12x + 5 = 161

x12x + 5Equals 161?
11137no
12149no
13161yes
14173no
15185no

Questions

What is x in 12x + 5 = 161?

The solution of 12x + 5 = 161 is x = 13.

How do you solve 12x + 5 = 161?

Subtract 5 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) + 5 = 161, which is 161.

Similar equations

    Solve 12x + 5 = 161: x = 13 (steps and check) | WordGPT