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Solve 8x + 12 = 108

The solution of 8x + 12 = 108 is x = 12.

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The lines y = 8x + 12 and y = 108 meet at x = 126810121416186080100120140160x = 12y = 8x + 12y = 108
The lines y = 8x + 12 and y = 108 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+12=1088x + 12 = 108
  2. 2

    Subtract 12 from both sides:

    8x+12−12=108−12 ⇒ 8x=968x + 12 - 12 = 108 - 12 \ \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+12=96+12=108✓8\cdot12 + 12 = 96 + 12 = 108 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 12 = 108\ \Rightarrow\ x = 12 \]
\[ 8x + 12 = 108 \]
\[ 8x + 12 - 12 = 108 - 12 \ \Rightarrow\ 8x = 96 \]
\[ \frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12 \]
\[ 8\cdot12 + 12 = 96 + 12 = 108 \checkmark \]

Trying values of x in 8x + 12 = 108

x8x + 12Equals 108?
1092no
11100no
12108yes
13116no
14124no

Questions

What is x in 8x + 12 = 108?

The solution of 8x + 12 = 108 is x = 12.

How do you solve 8x + 12 = 108?

Subtract 12 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) + 12 = 108, which is 108.

Similar equations

    Solve 8x + 12 = 108: x = 12 (steps and check) | WordGPT