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Solve 11x + 13 = 156

The solution of 11x + 13 = 156 is x = 13.

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The lines y = 11x + 13 and y = 156 meet at x = 138101214161880100120140160180200220x = 13y = 11x + 13y = 156
The lines y = 11x + 13 and y = 156 meet at x = 13. 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=15611x + 13 = 156
  2. 2

    Subtract 13 from both sides:

    11x+13−13=156−13 ⇒ 11x=14311x + 13 - 13 = 156 - 13 \ \Rightarrow\ 11x = 143
  3. 3

    Divide both sides by 11:

    11x11=14311 ⇒ x=13\frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    11⋅13+13=143+13=156✓11\cdot13 + 13 = 143 + 13 = 156 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 13 = 156\ \Rightarrow\ x = 13 \]
\[ 11x + 13 = 156 \]
\[ 11x + 13 - 13 = 156 - 13 \ \Rightarrow\ 11x = 143 \]
\[ \frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13 \]
\[ 11\cdot13 + 13 = 143 + 13 = 156 \checkmark \]

Trying values of x in 11x + 13 = 156

x11x + 13Equals 156?
11134no
12145no
13156yes
14167no
15178no

Questions

What is x in 11x + 13 = 156?

The solution of 11x + 13 = 156 is x = 13.

How do you solve 11x + 13 = 156?

Subtract 13 from both sides to get 11x = 143, then divide both sides by 11 to get x = 13.

How do I check the answer?

Replace x by 13: 11(13) + 13 = 156, which is 156.

Similar equations

    Solve 11x + 13 = 156: x = 13 (steps and check) | WordGPT