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Solve 8x + 14 = 102

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

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The lines y = 8x + 14 and y = 102 meet at x = 1168101214166080100120140160x = 11y = 8x + 14y = 102
The lines y = 8x + 14 and y = 102 meet at x = 11. 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.

    8x+14=1028x + 14 = 102
  2. 2

    Subtract 14 from both sides:

    8x+14−14=102−14 ⇒ 8x=888x + 14 - 14 = 102 - 14 \ \Rightarrow\ 8x = 88
  3. 3

    Divide both sides by 8:

    8x8=888 ⇒ x=11\frac{8x}{8} = \frac{88}{8} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    8⋅11+14=88+14=102✓8\cdot11 + 14 = 88 + 14 = 102 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 14 = 102\ \Rightarrow\ x = 11 \]
\[ 8x + 14 = 102 \]
\[ 8x + 14 - 14 = 102 - 14 \ \Rightarrow\ 8x = 88 \]
\[ \frac{8x}{8} = \frac{88}{8} \ \Rightarrow\ x = 11 \]
\[ 8\cdot11 + 14 = 88 + 14 = 102 \checkmark \]

Trying values of x in 8x + 14 = 102

x8x + 14Equals 102?
986no
1094no
11102yes
12110no
13118no

Questions

What is x in 8x + 14 = 102?

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

How do you solve 8x + 14 = 102?

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

How do I check the answer?

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

Similar equations

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