Answer: [tex]x=2.6[/tex]
Step-by-step explanation:
Given the following equation:
[tex]\frac{1.2}{8}=\frac{3}{5x+7}[/tex]
You need to solve for the variable "x" in order to find its value.
To do this, you can follow the steps below:
1. Youst must multiply both sides of the equation by [tex]5x+7[/tex]:
[tex](5x+7)(\frac{1.2}{8})=(\frac{3}{5x+7})(5x+7)\\\\\frac{6x+8.4}{8}=3[/tex]
2. Now you have to multiply both sides of the equation by 8:
[tex](8)(\frac{6x+8.4}{8})=(3)(8)\\\\6x+8.4=24[/tex]
3. The next step is to subtract 8.4 from both sides of the equation:
[tex]6x+8.4-(8.4)=24-(8.4)\\\\6x=15.6[/tex]
4. And finally, divide both sides of the equation by 6:
[tex]\frac{6x}{6}=\frac{15.6}{6}\\\\x=2.6[/tex]
