2(19w-18.65)=5(-1.86-6.4w)

Solution for 2(19w-18.65)=5(-1.86-6.4w) equation:

Simplifying
2(19w + -18.65) = 5(-1.86 + -6.4w)

Reorder the terms:
2(-18.65 + 19w) = 5(-1.86 + -6.4w)
(-18.65 * 2 + 19w * 2) = 5(-1.86 + -6.4w)
(-37.3 + 38w) = 5(-1.86 + -6.4w)
-37.3 + 38w = (-1.86 * 5 + -6.4w * 5)
-37.3 + 38w = (-9.3 + -32w)

Solving
-37.3 + 38w = -9.3 + -32w

Solving for variable 'w'.

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

Add '32w' to each side of the equation.
-37.3 + 38w + 32w = -9.3 + -32w + 32w

Combine like terms: 38w + 32w = 70w
-37.3 + 70w = -9.3 + -32w + 32w

Combine like terms: -32w + 32w = 0
-37.3 + 70w = -9.3 + 0
-37.3 + 70w = -9.3

Add '37.3' to each side of the equation.
-37.3 + 37.3 + 70w = -9.3 + 37.3

Combine like terms: -37.3 + 37.3 = 0.0
0.0 + 70w = -9.3 + 37.3
70w = -9.3 + 37.3

Combine like terms: -9.3 + 37.3 = 28
70w = 28

Divide each side by '70'.
w = 0.4

Simplifying
w = 0.4