.4x+(.4-45)+(3(.4x-45))=x

Solution for .4x+(.4-45)+(3(.4x-45))=x equation:

Simplifying
0.4x + (0.4 + -45) + (3(0.4x + -45)) = x

Combine like terms: 0.4 + -45 = -44.6
0.4x + (-44.6) + (3(0.4x + -45)) = x
0.4x + -44.6 + (3(0.4x + -45)) = x

Reorder the terms:
0.4x + -44.6 + (3(-45 + 0.4x)) = x
0.4x + -44.6 + ((-45 * 3 + 0.4x * 3)) = x
0.4x + -44.6 + ((-135 + 1.2x)) = x
0.4x + -44.6 + (-135 + 1.2x) = x

Remove parenthesis around (-135 + 1.2x)
0.4x + -44.6 + -135 + 1.2x = x

Reorder the terms:
-44.6 + -135 + 0.4x + 1.2x = x

Combine like terms: -44.6 + -135 = -179.6
-179.6 + 0.4x + 1.2x = x

Combine like terms: 0.4x + 1.2x = 1.6x
-179.6 + 1.6x = x

Solving
-179.6 + 1.6x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-179.6 + 1.6x + -1x = x + -1x

Combine like terms: 1.6x + -1x = 0.6x
-179.6 + 0.6x = x + -1x

Combine like terms: x + -1x = 0
-179.6 + 0.6x = 0

Add '179.6' to each side of the equation.
-179.6 + 179.6 + 0.6x = 0 + 179.6

Combine like terms: -179.6 + 179.6 = 0.0
0.0 + 0.6x = 0 + 179.6
0.6x = 0 + 179.6

Combine like terms: 0 + 179.6 = 179.6
0.6x = 179.6

Divide each side by '0.6'.
x = 299.3333333

Simplifying
x = 299.3333333