0.4(0.4x+6)-0.6(1.7x-0.2)=x

Solution for 0.4(0.4x+6)-0.6(1.7x-0.2)=x equation:

Simplifying
0.4(0.4x + 6) + -0.6(1.7x + -0.2) = x

Reorder the terms:
0.4(6 + 0.4x) + -0.6(1.7x + -0.2) = x
(6 * 0.4 + 0.4x * 0.4) + -0.6(1.7x + -0.2) = x
(2.4 + 0.16x) + -0.6(1.7x + -0.2) = x

Reorder the terms:
2.4 + 0.16x + -0.6(-0.2 + 1.7x) = x
2.4 + 0.16x + (-0.2 * -0.6 + 1.7x * -0.6) = x
2.4 + 0.16x + (0.12 + -1.02x) = x

Reorder the terms:
2.4 + 0.12 + 0.16x + -1.02x = x

Combine like terms: 2.4 + 0.12 = 2.52
2.52 + 0.16x + -1.02x = x

Combine like terms: 0.16x + -1.02x = -0.86x
2.52 + -0.86x = x

Solving
2.52 + -0.86x = 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.
2.52 + -0.86x + -1x = x + -1x

Combine like terms: -0.86x + -1x = -1.86x
2.52 + -1.86x = x + -1x

Combine like terms: x + -1x = 0
2.52 + -1.86x = 0

Add '-2.52' to each side of the equation.
2.52 + -2.52 + -1.86x = 0 + -2.52

Combine like terms: 2.52 + -2.52 = 0.00
0.00 + -1.86x = 0 + -2.52
-1.86x = 0 + -2.52

Combine like terms: 0 + -2.52 = -2.52
-1.86x = -2.52

Divide each side by '-1.86'.
x = 1.35483871

Simplifying
x = 1.35483871