0.25(x+4)=0.75(x+8)

Solution for 0.25(x+4)=0.75(x+8) equation:

Simplifying
0.25(x + 4) = 0.75(x + 8)

Reorder the terms:
0.25(4 + x) = 0.75(x + 8)
(4 * 0.25 + x * 0.25) = 0.75(x + 8)
(1 + 0.25x) = 0.75(x + 8)

Reorder the terms:
1 + 0.25x = 0.75(8 + x)
1 + 0.25x = (8 * 0.75 + x * 0.75)
1 + 0.25x = (6 + 0.75x)

Solving
1 + 0.25x = 6 + 0.75x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.75x' to each side of the equation.
1 + 0.25x + -0.75x = 6 + 0.75x + -0.75x

Combine like terms: 0.25x + -0.75x = -0.5x
1 + -0.5x = 6 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
1 + -0.5x = 6 + 0.00
1 + -0.5x = 6

Add '-1' to each side of the equation.
1 + -1 + -0.5x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -0.5x = 6 + -1
-0.5x = 6 + -1

Combine like terms: 6 + -1 = 5
-0.5x = 5

Divide each side by '-0.5'.
x = -10

Simplifying
x = -10