Answer:
6x = 16
Step-by-step explanation:
Given:
[tex]\displaystyle \large{6:2 = 8:x}[/tex]
The equation can be rewritten as:
[tex]\displaystyle \large{\dfrac{6}{2}=\dfrac{8}{x}}[/tex]
Multiply both sides by 2x.
[tex]\displaystyle \large{\dfrac{6}{2}\cdot 2x=\dfrac{8}{x}\cdot 2x}[/tex]
Simplify the equation in simplest form.
[tex]\displaystyle \large{6x=8\cdot 2}\\\\\displaystyle \large{6x=16}[/tex]
Therefore, the answer to this question is 6x = 16.
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