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Solve 11x + 13 = 145

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

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The lines y = 11x + 13 and y = 145 meet at x = 1268101214161880100120140160180200220x = 12y = 11x + 13y = 145
The lines y = 11x + 13 and y = 145 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.

    11x+13=14511x + 13 = 145
  2. 2

    Subtract 13 from both sides:

    11x+13−13=145−13 ⇒ 11x=13211x + 13 - 13 = 145 - 13 \ \Rightarrow\ 11x = 132
  3. 3

    Divide both sides by 11:

    11x11=13211 ⇒ x=12\frac{11x}{11} = \frac{132}{11} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    11⋅12+13=132+13=145✓11\cdot12 + 13 = 132 + 13 = 145 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 13 = 145\ \Rightarrow\ x = 12 \]
\[ 11x + 13 = 145 \]
\[ 11x + 13 - 13 = 145 - 13 \ \Rightarrow\ 11x = 132 \]
\[ \frac{11x}{11} = \frac{132}{11} \ \Rightarrow\ x = 12 \]
\[ 11\cdot12 + 13 = 132 + 13 = 145 \checkmark \]

Trying values of x in 11x + 13 = 145

x11x + 13Equals 145?
10123no
11134no
12145yes
13156no
14167no

Questions

What is x in 11x + 13 = 145?

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

How do you solve 11x + 13 = 145?

Subtract 13 from both sides to get 11x = 132, then divide both sides by 11 to get x = 12.

How do I check the answer?

Replace x by 12: 11(12) + 13 = 145, which is 145.

Similar equations

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