-0.2(4x-5)+2=0.4(3-4x)

Solution for -0.2(4x-5)+2=0.4(3-4x) equation:

Simplifying
-0.2(4x + -5) + 2 = 0.4(3 + -4x)

Reorder the terms:
-0.2(-5 + 4x) + 2 = 0.4(3 + -4x)
(-5 * -0.2 + 4x * -0.2) + 2 = 0.4(3 + -4x)
(1 + -0.8x) + 2 = 0.4(3 + -4x)

Reorder the terms:
1 + 2 + -0.8x = 0.4(3 + -4x)

Combine like terms: 1 + 2 = 3
3 + -0.8x = 0.4(3 + -4x)
3 + -0.8x = (3 * 0.4 + -4x * 0.4)
3 + -0.8x = (1.2 + -1.6x)

Solving
3 + -0.8x = 1.2 + -1.6x

Solving for variable 'x'.

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

Add '1.6x' to each side of the equation.
3 + -0.8x + 1.6x = 1.2 + -1.6x + 1.6x

Combine like terms: -0.8x + 1.6x = 0.8x
3 + 0.8x = 1.2 + -1.6x + 1.6x

Combine like terms: -1.6x + 1.6x = 0.0
3 + 0.8x = 1.2 + 0.0
3 + 0.8x = 1.2

Add '-3' to each side of the equation.
3 + -3 + 0.8x = 1.2 + -3

Combine like terms: 3 + -3 = 0
0 + 0.8x = 1.2 + -3
0.8x = 1.2 + -3

Combine like terms: 1.2 + -3 = -1.8
0.8x = -1.8

Divide each side by '0.8'.
x = -2.25

Simplifying
x = -2.25