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

Solution for 0.5(x+4)=0.75(x+8) equation:

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

Reorder the terms:
0.5(4 + x) = 0.75(x + 8)
(4 * 0.5 + x * 0.5) = 0.75(x + 8)
(2 + 0.5x) = 0.75(x + 8)

Reorder the terms:
2 + 0.5x = 0.75(8 + x)
2 + 0.5x = (8 * 0.75 + x * 0.75)
2 + 0.5x = (6 + 0.75x)

Solving
2 + 0.5x = 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.
2 + 0.5x + -0.75x = 6 + 0.75x + -0.75x

Combine like terms: 0.5x + -0.75x = -0.25x
2 + -0.25x = 6 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
2 + -0.25x = 6 + 0.00
2 + -0.25x = 6

Add '-2' to each side of the equation.
2 + -2 + -0.25x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -0.25x = 6 + -2
-0.25x = 6 + -2

Combine like terms: 6 + -2 = 4
-0.25x = 4

Divide each side by '-0.25'.
x = -16

Simplifying
x = -16