.4x-3(x-2)=2(x-1)

Solution for .4x-3(x-2)=2(x-1) equation:

Simplifying
0.4x + -3(x + -2) = 2(x + -1)

Reorder the terms:
0.4x + -3(-2 + x) = 2(x + -1)
0.4x + (-2 * -3 + x * -3) = 2(x + -1)
0.4x + (6 + -3x) = 2(x + -1)

Reorder the terms:
6 + 0.4x + -3x = 2(x + -1)

Combine like terms: 0.4x + -3x = -2.6x
6 + -2.6x = 2(x + -1)

Reorder the terms:
6 + -2.6x = 2(-1 + x)
6 + -2.6x = (-1 * 2 + x * 2)
6 + -2.6x = (-2 + 2x)

Solving
6 + -2.6x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -2.6x + -2x = -2 + 2x + -2x

Combine like terms: -2.6x + -2x = -4.6x
6 + -4.6x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -4.6x = -2 + 0
6 + -4.6x = -2

Add '-6' to each side of the equation.
6 + -6 + -4.6x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -4.6x = -2 + -6
-4.6x = -2 + -6

Combine like terms: -2 + -6 = -8
-4.6x = -8

Divide each side by '-4.6'.
x = 1.739130435

Simplifying
x = 1.739130435