0.3(1-6x)+1.3=3(-0.8x+0.6)

Solution for 0.3(1-6x)+1.3=3(-0.8x+0.6) equation:

Simplifying
0.3(1 + -6x) + 1.3 = 3(-0.8x + 0.6)
(1 * 0.3 + -6x * 0.3) + 1.3 = 3(-0.8x + 0.6)
(0.3 + -1.8x) + 1.3 = 3(-0.8x + 0.6)

Reorder the terms:
0.3 + 1.3 + -1.8x = 3(-0.8x + 0.6)

Combine like terms: 0.3 + 1.3 = 1.6
1.6 + -1.8x = 3(-0.8x + 0.6)

Reorder the terms:
1.6 + -1.8x = 3(0.6 + -0.8x)
1.6 + -1.8x = (0.6 * 3 + -0.8x * 3)
1.6 + -1.8x = (1.8 + -2.4x)

Solving
1.6 + -1.8x = 1.8 + -2.4x

Solving for variable 'x'.

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

Add '2.4x' to each side of the equation.
1.6 + -1.8x + 2.4x = 1.8 + -2.4x + 2.4x

Combine like terms: -1.8x + 2.4x = 0.6x
1.6 + 0.6x = 1.8 + -2.4x + 2.4x

Combine like terms: -2.4x + 2.4x = 0.0
1.6 + 0.6x = 1.8 + 0.0
1.6 + 0.6x = 1.8

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 0.6x = 1.8 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.6x = 1.8 + -1.6
0.6x = 1.8 + -1.6

Combine like terms: 1.8 + -1.6 = 0.2
0.6x = 0.2

Divide each side by '0.6'.
x = 0.3333333333

Simplifying
x = 0.3333333333