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Solve 8x + 6 = 102

The solution of 8x + 6 = 102 is x = 12.

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The lines y = 8x + 6 and y = 102 meet at x = 126810121416186080100120140160x = 12y = 8x + 6y = 102
The lines y = 8x + 6 and y = 102 meet at x = 12. 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+6=1028x + 6 = 102
  2. 2

    Subtract 6 from both sides:

    8x+6−6=102−6 ⇒ 8x=968x + 6 - 6 = 102 - 6 \ \Rightarrow\ 8x = 96
  3. 3

    Divide both sides by 8:

    8x8=968 ⇒ x=12\frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    8⋅12+6=96+6=102✓8\cdot12 + 6 = 96 + 6 = 102 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 6 = 102\ \Rightarrow\ x = 12 \]
\[ 8x + 6 = 102 \]
\[ 8x + 6 - 6 = 102 - 6 \ \Rightarrow\ 8x = 96 \]
\[ \frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12 \]
\[ 8\cdot12 + 6 = 96 + 6 = 102 \checkmark \]

Trying values of x in 8x + 6 = 102

x8x + 6Equals 102?
1086no
1194no
12102yes
13110no
14118no

Questions

What is x in 8x + 6 = 102?

The solution of 8x + 6 = 102 is x = 12.

How do you solve 8x + 6 = 102?

Subtract 6 from both sides to get 8x = 96, then divide both sides by 8 to get x = 12.

How do I check the answer?

Replace x by 12: 8(12) + 6 = 102, which is 102.

Similar equations

    Solve 8x + 6 = 102: x = 12 (steps and check) | WordGPT