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Solve 11x + 11 = 198

The solution of 11x + 11 = 198 is x = 17.

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The lines y = 11x + 11 and y = 198 meet at x = 17121416182022120140160180200220240260x = 17y = 11x + 11y = 198
The lines y = 11x + 11 and y = 198 meet at x = 17. 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+11=19811x + 11 = 198
  2. 2

    Subtract 11 from both sides:

    11x+11−11=198−11 ⇒ 11x=18711x + 11 - 11 = 198 - 11 \ \Rightarrow\ 11x = 187
  3. 3

    Divide both sides by 11:

    11x11=18711 ⇒ x=17\frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    11⋅17+11=187+11=198✓11\cdot17 + 11 = 187 + 11 = 198 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 11 = 198\ \Rightarrow\ x = 17 \]
\[ 11x + 11 = 198 \]
\[ 11x + 11 - 11 = 198 - 11 \ \Rightarrow\ 11x = 187 \]
\[ \frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17 \]
\[ 11\cdot17 + 11 = 187 + 11 = 198 \checkmark \]

Trying values of x in 11x + 11 = 198

x11x + 11Equals 198?
15176no
16187no
17198yes
18209no
19220no

Questions

What is x in 11x + 11 = 198?

The solution of 11x + 11 = 198 is x = 17.

How do you solve 11x + 11 = 198?

Subtract 11 from both sides to get 11x = 187, then divide both sides by 11 to get x = 17.

How do I check the answer?

Replace x by 17: 11(17) + 11 = 198, which is 198.

Similar equations

    Solve 11x + 11 = 198: x = 17 (steps and check) | WordGPT