2(5-7w)=3(5w+1)

Solution for 2(5-7w)=3(5w+1) equation:

Simplifying
2(5 + -7w) = 3(5w + 1)
(5 * 2 + -7w * 2) = 3(5w + 1)
(10 + -14w) = 3(5w + 1)

Reorder the terms:
10 + -14w = 3(1 + 5w)
10 + -14w = (1 * 3 + 5w * 3)
10 + -14w = (3 + 15w)

Solving
10 + -14w = 3 + 15w

Solving for variable 'w'.

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

Add '-15w' to each side of the equation.
10 + -14w + -15w = 3 + 15w + -15w

Combine like terms: -14w + -15w = -29w
10 + -29w = 3 + 15w + -15w

Combine like terms: 15w + -15w = 0
10 + -29w = 3 + 0
10 + -29w = 3

Add '-10' to each side of the equation.
10 + -10 + -29w = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -29w = 3 + -10
-29w = 3 + -10

Combine like terms: 3 + -10 = -7
-29w = -7

Divide each side by '-29'.
w = 0.2413793103

Simplifying
w = 0.2413793103