2.3w-1.6=1.5w+6

Solution for 2.3w-1.6=1.5w+6 equation:

Simplifying
2.3w + -1.6 = 1.5w + 6

Reorder the terms:
-1.6 + 2.3w = 1.5w + 6

Reorder the terms:
-1.6 + 2.3w = 6 + 1.5w

Solving
-1.6 + 2.3w = 6 + 1.5w

Solving for variable 'w'.

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

Add '-1.5w' to each side of the equation.
-1.6 + 2.3w + -1.5w = 6 + 1.5w + -1.5w

Combine like terms: 2.3w + -1.5w = 0.8w
-1.6 + 0.8w = 6 + 1.5w + -1.5w

Combine like terms: 1.5w + -1.5w = 0.0
-1.6 + 0.8w = 6 + 0.0
-1.6 + 0.8w = 6

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.8w = 6 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.8w = 6 + 1.6
0.8w = 6 + 1.6

Combine like terms: 6 + 1.6 = 7.6
0.8w = 7.6

Divide each side by '0.8'.
w = 9.5

Simplifying
w = 9.5