3=(x*1.10)+((x+.52)*1.25)

Solution for 3=(x*1.10)+((x+.52)*1.25) equation:

Simplifying
3 = (x * 1.10) + ((x + 0.52) * 1.25)

Reorder the terms for easier multiplication:
3 = (1.10x) + ((x + 0.52) * 1.25)

Reorder the terms:
3 = (1.10x) + ((0.52 + x) * 1.25)

Reorder the terms for easier multiplication:
3 = (1.10x) + (1.25(0.52 + x))
3 = (1.10x) + ((0.52 * 1.25 + x * 1.25))
3 = (1.10x) + ((0.65 + 1.25x))
3 = (1.10x) + (0.65 + 1.25x)

Remove parenthesis around (0.65 + 1.25x)
3 = (1.10x) + 0.65 + 1.25x

Reorder the terms:
3 = 0.65 + (1.10x) + 1.25x

Combine like terms: (1.10x) + 1.25x = 2.35x
3 = 0.65 + 2.35x

Solving
3 = 0.65 + 2.35x

Solving for variable 'x'.

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

Add '-2.35x' to each side of the equation.
3 + -2.35x = 0.65 + 2.35x + -2.35x

Combine like terms: 2.35x + -2.35x = 0.00
3 + -2.35x = 0.65 + 0.00
3 + -2.35x = 0.65

Add '-3' to each side of the equation.
3 + -3 + -2.35x = 0.65 + -3

Combine like terms: 3 + -3 = 0
0 + -2.35x = 0.65 + -3
-2.35x = 0.65 + -3

Combine like terms: 0.65 + -3 = -2.35
-2.35x = -2.35

Divide each side by '-2.35'.
x = 1

Simplifying
x = 1