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Solve 11x + 15 = 213

The solution of 11x + 15 = 213 is x = 18.

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The lines y = 11x + 15 and y = 213 meet at x = 1812141618202224140160180200220240260280x = 18y = 11x + 15y = 213
The lines y = 11x + 15 and y = 213 meet at x = 18. 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=21311x + 15 = 213
  2. 2

    Subtract 15 from both sides:

    11x+15−15=213−15 ⇒ 11x=19811x + 15 - 15 = 213 - 15 \ \Rightarrow\ 11x = 198
  3. 3

    Divide both sides by 11:

    11x11=19811 ⇒ x=18\frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    11⋅18+15=198+15=213✓11\cdot18 + 15 = 198 + 15 = 213 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 15 = 213\ \Rightarrow\ x = 18 \]
\[ 11x + 15 = 213 \]
\[ 11x + 15 - 15 = 213 - 15 \ \Rightarrow\ 11x = 198 \]
\[ \frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18 \]
\[ 11\cdot18 + 15 = 198 + 15 = 213 \checkmark \]

Trying values of x in 11x + 15 = 213

x11x + 15Equals 213?
16191no
17202no
18213yes
19224no
20235no

Questions

What is x in 11x + 15 = 213?

The solution of 11x + 15 = 213 is x = 18.

How do you solve 11x + 15 = 213?

Subtract 15 from both sides to get 11x = 198, then divide both sides by 11 to get x = 18.

How do I check the answer?

Replace x by 18: 11(18) + 15 = 213, which is 213.

Similar equations

    Solve 11x + 15 = 213: x = 18 (steps and check) | WordGPT