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Solve 12x āˆ’ 8 = 88

The solution of 12x āˆ’ 8 = 88 is x = 8.

The lines y = 12x āˆ’ 8 and y = 88 meet at x = 8246810121420406080100120140160x = 8y = 12x āˆ’ 8y = 88
The lines y = 12x āˆ’ 8 and y = 88 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 subtraction, then the multiplication.

    12xāˆ’8=8812x - 8 = 88
  2. 2

    Add 8 to both sides:

    12xāˆ’8+8=88+8 ⇒ 12x=9612x - 8 + 8 = 88 + 8 \ \Rightarrow\ 12x = 96
  3. 3

    Divide both sides by 12:

    12x12=9612 ⇒ x=8\frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    12ā‹…8āˆ’8=96āˆ’8=88āœ“12\cdot8 - 8 = 96 - 8 = 88 \checkmark
LaTeX source of the formulas on this page
\[ 12x - 8 = 88\ \Rightarrow\ x = 8 \]
\[ 12x - 8 = 88 \]
\[ 12x - 8 + 8 = 88 + 8 \ \Rightarrow\ 12x = 96 \]
\[ \frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8 \]
\[ 12\cdot8 - 8 = 96 - 8 = 88 \checkmark \]

Trying values of x in 12x āˆ’ 8 = 88

x12x āˆ’ 8Equals 88?
664no
776no
888yes
9100no
10112no

Questions

What is x in 12x āˆ’ 8 = 88?

The solution of 12x āˆ’ 8 = 88 is x = 8.

How do you solve 12x āˆ’ 8 = 88?

Add 8 to both sides to get 12x = 96, then divide both sides by 12 to get x = 8.

How do I check the answer?

Replace x by 8: 12(8) āˆ’ 8 = 88, which is 88.

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