Answer: [tex]x=-2.8[/tex]
Step-by-step explanation:
Given the following equation:
[tex]0.7x+6=0.3(4x+6)-2x[/tex]
You can follow these steps in order to solve for "x" and find its value:
1. Apply Distributive property on the right side of the equation:
[tex]0.7x+6=0.3(4x+6)-2x\\\\0.7x+6=1.2x+1.8-2x[/tex]
2. Subract [tex]0.7x[/tex] from both sides and add the like terms:
[tex]0.7x+6-(0.7x)=1.2x+1.8-2x-(0.7x)\\\\6=-1.5x+1.8[/tex]
3. Subtract 1.8 from both sides:
[tex]6-(1.8)=-1.5x+1.8-(1.8)\\\\4.2=-1.5x[/tex]
4. Finally, divide both side of the equation by -1.5:
[tex]\frac{4.2}{-1.5}=\frac{-1.5x}{-1.5}\\\\x=-2.8[/tex]
