3.8x+(6+0.4x)=1.3(6-2.6x)

Solution for 3.8x+(6+0.4x)=1.3(6-2.6x) equation:

Simplifying
3.8x + (6 + 0.4x) = 1.3(6 + -2.6x)

Remove parenthesis around (6 + 0.4x)
3.8x + 6 + 0.4x = 1.3(6 + -2.6x)

Reorder the terms:
6 + 3.8x + 0.4x = 1.3(6 + -2.6x)

Combine like terms: 3.8x + 0.4x = 4.2x
6 + 4.2x = 1.3(6 + -2.6x)
6 + 4.2x = (6 * 1.3 + -2.6x * 1.3)
6 + 4.2x = (7.8 + -3.38x)

Solving
6 + 4.2x = 7.8 + -3.38x

Solving for variable 'x'.

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

Add '3.38x' to each side of the equation.
6 + 4.2x + 3.38x = 7.8 + -3.38x + 3.38x

Combine like terms: 4.2x + 3.38x = 7.58x
6 + 7.58x = 7.8 + -3.38x + 3.38x

Combine like terms: -3.38x + 3.38x = 0.00
6 + 7.58x = 7.8 + 0.00
6 + 7.58x = 7.8

Add '-6' to each side of the equation.
6 + -6 + 7.58x = 7.8 + -6

Combine like terms: 6 + -6 = 0
0 + 7.58x = 7.8 + -6
7.58x = 7.8 + -6

Combine like terms: 7.8 + -6 = 1.8
7.58x = 1.8

Divide each side by '7.58'.
x = 0.2374670185

Simplifying
x = 0.2374670185