0.25*(5(x-1))=0.5*(3(x-1))

Solution for 0.25*(5(x-1))=0.5*(3(x-1)) equation:

Simplifying
0.25(5(x + -1)) = 0.5(3(x + -1))

Reorder the terms:
0.25(5(-1 + x)) = 0.5(3(x + -1))
0.25((-1 * 5 + x * 5)) = 0.5(3(x + -1))
0.25((-5 + 5x)) = 0.5(3(x + -1))
(-5 * 0.25 + 5x * 0.25) = 0.5(3(x + -1))
(-1.25 + 1.25x) = 0.5(3(x + -1))

Reorder the terms:
-1.25 + 1.25x = 0.5(3(-1 + x))
-1.25 + 1.25x = 0.5((-1 * 3 + x * 3))
-1.25 + 1.25x = 0.5((-3 + 3x))
-1.25 + 1.25x = (-3 * 0.5 + 3x * 0.5)
-1.25 + 1.25x = (-1.5 + 1.5x)

Solving
-1.25 + 1.25x = -1.5 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-1.25 + 1.25x + -1.5x = -1.5 + 1.5x + -1.5x

Combine like terms: 1.25x + -1.5x = -0.25x
-1.25 + -0.25x = -1.5 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-1.25 + -0.25x = -1.5 + 0.0
-1.25 + -0.25x = -1.5

Add '1.25' to each side of the equation.
-1.25 + 1.25 + -0.25x = -1.5 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + -0.25x = -1.5 + 1.25
-0.25x = -1.5 + 1.25

Combine like terms: -1.5 + 1.25 = -0.25
-0.25x = -0.25

Divide each side by '-0.25'.
x = 1

Simplifying
x = 1