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Solve 11x + 7 = 205

The solution of 11x + 7 = 205 is x = 18.

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The lines y = 11x + 7 and y = 205 meet at x = 1812141618202224140160180200220240260280x = 18y = 11x + 7y = 205
The lines y = 11x + 7 and y = 205 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+7=20511x + 7 = 205
  2. 2

    Subtract 7 from both sides:

    11x+7−7=205−7 ⇒ 11x=19811x + 7 - 7 = 205 - 7 \ \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+7=198+7=205✓11\cdot18 + 7 = 198 + 7 = 205 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 7 = 205\ \Rightarrow\ x = 18 \]
\[ 11x + 7 = 205 \]
\[ 11x + 7 - 7 = 205 - 7 \ \Rightarrow\ 11x = 198 \]
\[ \frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18 \]
\[ 11\cdot18 + 7 = 198 + 7 = 205 \checkmark \]

Trying values of x in 11x + 7 = 205

x11x + 7Equals 205?
16183no
17194no
18205yes
19216no
20227no

Questions

What is x in 11x + 7 = 205?

The solution of 11x + 7 = 205 is x = 18.

How do you solve 11x + 7 = 205?

Subtract 7 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) + 7 = 205, which is 205.

Similar equations

    Solve 11x + 7 = 205: x = 18 (steps and check) | WordGPT