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Solve 11x + 15 = 158

The solution of 11x + 15 = 158 is x = 13.

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The lines y = 11x + 15 and y = 158 meet at x = 138101214161880100120140160180200220x = 13y = 11x + 15y = 158
The lines y = 11x + 15 and y = 158 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+15=15811x + 15 = 158
  2. 2

    Subtract 15 from both sides:

    11x+15−15=158−15 ⇒ 11x=14311x + 15 - 15 = 158 - 15 \ \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+15=143+15=158✓11\cdot13 + 15 = 143 + 15 = 158 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 15 = 158\ \Rightarrow\ x = 13 \]
\[ 11x + 15 = 158 \]
\[ 11x + 15 - 15 = 158 - 15 \ \Rightarrow\ 11x = 143 \]
\[ \frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13 \]
\[ 11\cdot13 + 15 = 143 + 15 = 158 \checkmark \]

Trying values of x in 11x + 15 = 158

x11x + 15Equals 158?
11136no
12147no
13158yes
14169no
15180no

Questions

What is x in 11x + 15 = 158?

The solution of 11x + 15 = 158 is x = 13.

How do you solve 11x + 15 = 158?

Subtract 15 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) + 15 = 158, which is 158.

Similar equations

    Solve 11x + 15 = 158: x = 13 (steps and check) | WordGPT