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Solve 12x + 13 = 145

The solution of 12x + 13 = 145 is x = 11.

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The lines y = 12x + 13 and y = 145 meet at x = 1168101214166080100120140160180200220x = 11y = 12x + 13y = 145
The lines y = 12x + 13 and y = 145 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+13=14512x + 13 = 145
  2. 2

    Subtract 13 from both sides:

    12x+13−13=145−13 ⇒ 12x=13212x + 13 - 13 = 145 - 13 \ \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+13=132+13=145✓12\cdot11 + 13 = 132 + 13 = 145 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 145\ \Rightarrow\ x = 11 \]
\[ 12x + 13 = 145 \]
\[ 12x + 13 - 13 = 145 - 13 \ \Rightarrow\ 12x = 132 \]
\[ \frac{12x}{12} = \frac{132}{12} \ \Rightarrow\ x = 11 \]
\[ 12\cdot11 + 13 = 132 + 13 = 145 \checkmark \]

Trying values of x in 12x + 13 = 145

x12x + 13Equals 145?
9121no
10133no
11145yes
12157no
13169no

Questions

What is x in 12x + 13 = 145?

The solution of 12x + 13 = 145 is x = 11.

How do you solve 12x + 13 = 145?

Subtract 13 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) + 13 = 145, which is 145.

Similar equations

    Solve 12x + 13 = 145: x = 11 (steps and check) | WordGPT