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Solve 12x + 13 = 157

The solution of 12x + 13 = 157 is x = 12.

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The lines y = 12x + 13 and y = 157 meet at x = 1268101214161880100120140160180200220240x = 12y = 12x + 13y = 157
The lines y = 12x + 13 and y = 157 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+13=15712x + 13 = 157
  2. 2

    Subtract 13 from both sides:

    12x+13−13=157−13 ⇒ 12x=14412x + 13 - 13 = 157 - 13 \ \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+13=144+13=157✓12\cdot12 + 13 = 144 + 13 = 157 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 157\ \Rightarrow\ x = 12 \]
\[ 12x + 13 = 157 \]
\[ 12x + 13 - 13 = 157 - 13 \ \Rightarrow\ 12x = 144 \]
\[ \frac{12x}{12} = \frac{144}{12} \ \Rightarrow\ x = 12 \]
\[ 12\cdot12 + 13 = 144 + 13 = 157 \checkmark \]

Trying values of x in 12x + 13 = 157

x12x + 13Equals 157?
10133no
11145no
12157yes
13169no
14181no

Questions

What is x in 12x + 13 = 157?

The solution of 12x + 13 = 157 is x = 12.

How do you solve 12x + 13 = 157?

Subtract 13 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) + 13 = 157, which is 157.

Similar equations

    Solve 12x + 13 = 157: x = 12 (steps and check) | WordGPT