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Solve 11x + 13 = 178

The solution of 11x + 13 = 178 is x = 15.

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The lines y = 11x + 13 and y = 178 meet at x = 15101214161820100120140160180200220240x = 15y = 11x + 13y = 178
The lines y = 11x + 13 and y = 178 meet at x = 15. 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=17811x + 13 = 178
  2. 2

    Subtract 13 from both sides:

    11x+13−13=178−13 ⇒ 11x=16511x + 13 - 13 = 178 - 13 \ \Rightarrow\ 11x = 165
  3. 3

    Divide both sides by 11:

    11x11=16511 ⇒ x=15\frac{11x}{11} = \frac{165}{11} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    11⋅15+13=165+13=178✓11\cdot15 + 13 = 165 + 13 = 178 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 13 = 178\ \Rightarrow\ x = 15 \]
\[ 11x + 13 = 178 \]
\[ 11x + 13 - 13 = 178 - 13 \ \Rightarrow\ 11x = 165 \]
\[ \frac{11x}{11} = \frac{165}{11} \ \Rightarrow\ x = 15 \]
\[ 11\cdot15 + 13 = 165 + 13 = 178 \checkmark \]

Trying values of x in 11x + 13 = 178

x11x + 13Equals 178?
13156no
14167no
15178yes
16189no
17200no

Questions

What is x in 11x + 13 = 178?

The solution of 11x + 13 = 178 is x = 15.

How do you solve 11x + 13 = 178?

Subtract 13 from both sides to get 11x = 165, then divide both sides by 11 to get x = 15.

How do I check the answer?

Replace x by 15: 11(15) + 13 = 178, which is 178.

Similar equations

    Solve 11x + 13 = 178: x = 15 (steps and check) | WordGPT