Answer:
the value of x is, 0.75
Step-by-step explanation:
Solve:
[tex]0.25[2.5x + 1.5(x-4)] =-x[/tex]
using distributive property, [tex]a \cdot (b+c)=a \cdot b+ a\cdot c[/tex] we have;
[tex]0.25[2.5x+1.5x-6] = -x[/tex]
Combine like terms:
[tex]0.25[4x-6] = -x[/tex]
Apply the distributive property we have;
[tex]x-1.5 = -x[/tex]
Add x to both sides we have;
[tex]2x-1.5 = 0[/tex]
Add 1.5 to both sides we have;
[tex]2x=1.5[/tex]
Divide both sides by 2 we have;
x = 0.75
Therefore, the value of x is, 0.75
