x=-1
Explanation
[tex]\begin{gathered} 0.5(5-7x)=8-(4x+6) \\ \end{gathered}[/tex]
Step 1
apply distributive property
[tex]\begin{gathered} 0.5(5-7x)=8-(4x+6) \\ 0.5\cdot5-0.5\cdot7x=8-4x-6 \\ 2.5-3.5x=2-4x \end{gathered}[/tex]
Step 2
add 4x in both sides
[tex]\begin{gathered} 2.5-3.5x=2-4x \\ 2.5-3.5x+4x=2-4x+4x \\ \text{2}.5+0.5x=2 \end{gathered}[/tex]
Step 3
subtract 2.5 in both sides
[tex]\begin{gathered} 2.5+0.5x=2 \\ 2.5+0.5x-2.5=2-2.5 \\ 0.5x=-0.5 \end{gathered}[/tex]
Step 4
finally, divide both sides by 0.5
[tex]\begin{gathered} \frac{0.5x}{0.5}=\frac{-0.5}{0.5} \\ x=-1 \end{gathered}[/tex]
I hope this helps you
