Verified Answer :

0.25 [2.5x + 1.5(x-4)] = -x
0.25 [ 2.5x + 1.5x - 6 ] = -x
0.25 [ 4x - 6 ] = -x
x -1.5 = -x
2x = 1.5
x = 0.75

Answer:

the value of x is, 0.75

Step-by-step explanation:

Solve:

\(0.25[2.5x + 1.5(x-4)] =-x\)

using distributive property,  \(a \cdot (b+c)=a \cdot b+ a\cdot c\) we have;

\(0.25[2.5x+1.5x-6] = -x\)

Combine like terms:

\(0.25[4x-6] = -x\)

Apply the distributive property we have;

\(x-1.5 = -x\)

Add x to both sides we have;

\(2x-1.5 = 0\)

Add 1.5 to both sides we have;

\(2x=1.5\)

Divide both sides by 2 we have;

x = 0.75

Therefore, the value of x is, 0.75