Answer:
The solution is:
[tex]x=-8[/tex]
Step-by-step explanation:
We have the following equation
[tex]-4(2x+3)=2x+6-(8x+2)[/tex]
To solve the equation apply the distributive property
[tex]-4(2x+3)=2x+6-(8x+2)[/tex]
[tex]-4*2x+3(-4)=2x+6-(1)*8x+2*(-1)[/tex]
Now simplify the expression
[tex]-8x-12=2x+6-8x-2[/tex]
[tex]-8x-12=-6x+4[/tex]
Add 6x +12 on both sides of the equation
[tex]-8x-12+6x+12=-6x+4+6x+12[/tex]
[tex]-2x=4+12[/tex]
[tex]-2x=16[/tex]
Divide both sides of the equality between -2
[tex]\frac{-2}{2}x=\frac{16}{-2}[/tex]
[tex]x=-8[/tex]
