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Solve 8x + 12 = 84

The solution of 8x + 12 = 84 is x = 9.

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The lines y = 8x + 12 and y = 84 meet at x = 9468101214406080100120140x = 9y = 8x + 12y = 84
The lines y = 8x + 12 and y = 84 meet at x = 9. 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=848x + 12 = 84
  2. 2

    Subtract 12 from both sides:

    8x+12−12=84−12 ⇒ 8x=728x + 12 - 12 = 84 - 12 \ \Rightarrow\ 8x = 72
  3. 3

    Divide both sides by 8:

    8x8=728 ⇒ x=9\frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    8⋅9+12=72+12=84✓8\cdot9 + 12 = 72 + 12 = 84 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 12 = 84\ \Rightarrow\ x = 9 \]
\[ 8x + 12 = 84 \]
\[ 8x + 12 - 12 = 84 - 12 \ \Rightarrow\ 8x = 72 \]
\[ \frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9 \]
\[ 8\cdot9 + 12 = 72 + 12 = 84 \checkmark \]

Trying values of x in 8x + 12 = 84

x8x + 12Equals 84?
768no
876no
984yes
1092no
11100no

Questions

What is x in 8x + 12 = 84?

The solution of 8x + 12 = 84 is x = 9.

How do you solve 8x + 12 = 84?

Subtract 12 from both sides to get 8x = 72, then divide both sides by 8 to get x = 9.

How do I check the answer?

Replace x by 9: 8(9) + 12 = 84, which is 84.

Similar equations

    Solve 8x + 12 = 84: x = 9 (steps and check) | WordGPT