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Solve 11x + 7 = 194

The solution of 11x + 7 = 194 is x = 17.

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The lines y = 11x + 7 and y = 194 meet at x = 17121416182022120140160180200220240260x = 17y = 11x + 7y = 194
The lines y = 11x + 7 and y = 194 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+7=19411x + 7 = 194
  2. 2

    Subtract 7 from both sides:

    11x+7−7=194−7 ⇒ 11x=18711x + 7 - 7 = 194 - 7 \ \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+7=187+7=194✓11\cdot17 + 7 = 187 + 7 = 194 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 7 = 194\ \Rightarrow\ x = 17 \]
\[ 11x + 7 = 194 \]
\[ 11x + 7 - 7 = 194 - 7 \ \Rightarrow\ 11x = 187 \]
\[ \frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17 \]
\[ 11\cdot17 + 7 = 187 + 7 = 194 \checkmark \]

Trying values of x in 11x + 7 = 194

x11x + 7Equals 194?
15172no
16183no
17194yes
18205no
19216no

Questions

What is x in 11x + 7 = 194?

The solution of 11x + 7 = 194 is x = 17.

How do you solve 11x + 7 = 194?

Subtract 7 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) + 7 = 194, which is 194.

Similar equations

    Solve 11x + 7 = 194: x = 17 (steps and check) | WordGPT