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Solve 12x + 5 = 137

The solution of 12x + 5 = 137 is x = 11.

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The lines y = 12x + 5 and y = 137 meet at x = 1168101214166080100120140160180200220x = 11y = 12x + 5y = 137
The lines y = 12x + 5 and y = 137 meet at x = 11. 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=13712x + 5 = 137
  2. 2

    Subtract 5 from both sides:

    12x+5−5=137−5 ⇒ 12x=13212x + 5 - 5 = 137 - 5 \ \Rightarrow\ 12x = 132
  3. 3

    Divide both sides by 12:

    12x12=13212 ⇒ x=11\frac{12x}{12} = \frac{132}{12} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    12⋅11+5=132+5=137✓12\cdot11 + 5 = 132 + 5 = 137 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 5 = 137\ \Rightarrow\ x = 11 \]
\[ 12x + 5 = 137 \]
\[ 12x + 5 - 5 = 137 - 5 \ \Rightarrow\ 12x = 132 \]
\[ \frac{12x}{12} = \frac{132}{12} \ \Rightarrow\ x = 11 \]
\[ 12\cdot11 + 5 = 132 + 5 = 137 \checkmark \]

Trying values of x in 12x + 5 = 137

x12x + 5Equals 137?
9113no
10125no
11137yes
12149no
13161no

Questions

What is x in 12x + 5 = 137?

The solution of 12x + 5 = 137 is x = 11.

How do you solve 12x + 5 = 137?

Subtract 5 from both sides to get 12x = 132, then divide both sides by 12 to get x = 11.

How do I check the answer?

Replace x by 11: 12(11) + 5 = 137, which is 137.

Similar equations

    Solve 12x + 5 = 137: x = 11 (steps and check) | WordGPT