Answer: [tex]x=\Large\boxed{-1}[/tex]
Step-by-step explanation:
Given equation
[tex]4(x+1)-(2x-4)=7[/tex]
Expand the parenthesis and apply the distributive property
[tex]4\times x+4\times1-2x+4=6[/tex]
[tex]4x+4-2x+4=6[/tex]
Combine like terms
[tex]4x-2x+4+4=6[/tex]
[tex]2x+8=6[/tex]
Subtract 8 on both sides
[tex]2x+8-8=6-8[/tex]
[tex]2x=-2[/tex]
Divide 2 on both sides
[tex]2x\div2=-2\div2[/tex]
[tex]x=\Large\boxed{-1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
