2.3w+4.6=3.8w+1.6

Solution for 2.3w+4.6=3.8w+1.6 equation:

Simplifying
2.3w + 4.6 = 3.8w + 1.6

Reorder the terms:
4.6 + 2.3w = 3.8w + 1.6

Reorder the terms:
4.6 + 2.3w = 1.6 + 3.8w

Solving
4.6 + 2.3w = 1.6 + 3.8w

Solving for variable 'w'.

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

Add '-3.8w' to each side of the equation.
4.6 + 2.3w + -3.8w = 1.6 + 3.8w + -3.8w

Combine like terms: 2.3w + -3.8w = -1.5w
4.6 + -1.5w = 1.6 + 3.8w + -3.8w

Combine like terms: 3.8w + -3.8w = 0.0
4.6 + -1.5w = 1.6 + 0.0
4.6 + -1.5w = 1.6

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -1.5w = 1.6 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -1.5w = 1.6 + -4.6
-1.5w = 1.6 + -4.6

Combine like terms: 1.6 + -4.6 = -3
-1.5w = -3

Divide each side by '-1.5'.
w = 2

Simplifying
w = 2