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Solve 11x + 14 = 102

The solution of 11x + 14 = 102 is x = 8.

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The lines y = 11x + 14 and y = 102 meet at x = 82468101214406080100120140160180x = 8y = 11x + 14y = 102
The lines y = 11x + 14 and y = 102 meet at x = 8. 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+14=10211x + 14 = 102
  2. 2

    Subtract 14 from both sides:

    11x+14−14=102−14 ⇒ 11x=8811x + 14 - 14 = 102 - 14 \ \Rightarrow\ 11x = 88
  3. 3

    Divide both sides by 11:

    11x11=8811 ⇒ x=8\frac{11x}{11} = \frac{88}{11} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    11⋅8+14=88+14=102✓11\cdot8 + 14 = 88 + 14 = 102 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 14 = 102\ \Rightarrow\ x = 8 \]
\[ 11x + 14 = 102 \]
\[ 11x + 14 - 14 = 102 - 14 \ \Rightarrow\ 11x = 88 \]
\[ \frac{11x}{11} = \frac{88}{11} \ \Rightarrow\ x = 8 \]
\[ 11\cdot8 + 14 = 88 + 14 = 102 \checkmark \]

Trying values of x in 11x + 14 = 102

x11x + 14Equals 102?
680no
791no
8102yes
9113no
10124no

Questions

What is x in 11x + 14 = 102?

The solution of 11x + 14 = 102 is x = 8.

How do you solve 11x + 14 = 102?

Subtract 14 from both sides to get 11x = 88, then divide both sides by 11 to get x = 8.

How do I check the answer?

Replace x by 8: 11(8) + 14 = 102, which is 102.

Similar equations

    Solve 11x + 14 = 102: x = 8 (steps and check) | WordGPT