Answer:
x=-1
Step-by-step explanation:
0.5(5−7x)=8−(4x+6)
I do not like working with fractions so I will multiply by 2 on each side
2*0.5(5−7x)=2*8−2(4x+6)
5 -7x = 16 -2( 4x+6)
Distribute
5-7x = 16 -8x -12
Combine like terms
5-7x =4-8x
Add 8x to each side
5 -7x+8x = 4-8x+8x
5+x = 4
Subtract 5 from each side
5-5+x = 4-5
x =-1
Answer:

Step-by-step explanation:
First, use distribution to simplify

Then, simplify further by combining like terms

Solve

The hinge theorem. Just think of the two sides being connecting by a "hinge"
Answer:
see below
Step-by-step explanation:
m²+8m=0
Factor out an m
m(m+8) =0
Using the zero product property
m=0 m+8 =0
m =0 m=-8