-1.6(x+6)+1.4=4.6

Solution for -1.6(x+6)+1.4=4.6 equation:

Simplifying
-1.6(x + 6) + 1.4 = 4.6

Reorder the terms:
-1.6(6 + x) + 1.4 = 4.6
(6 * -1.6 + x * -1.6) + 1.4 = 4.6
(-9.6 + -1.6x) + 1.4 = 4.6

Reorder the terms:
-9.6 + 1.4 + -1.6x = 4.6

Combine like terms: -9.6 + 1.4 = -8.2
-8.2 + -1.6x = 4.6

Solving
-8.2 + -1.6x = 4.6

Solving for variable 'x'.

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

Add '8.2' to each side of the equation.
-8.2 + 8.2 + -1.6x = 4.6 + 8.2

Combine like terms: -8.2 + 8.2 = 0.0
0.0 + -1.6x = 4.6 + 8.2
-1.6x = 4.6 + 8.2

Combine like terms: 4.6 + 8.2 = 12.8
-1.6x = 12.8

Divide each side by '-1.6'.
x = -8

Simplifying
x = -8