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

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


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

Reorder the terms:
5w + 1 + -2(-5 + -3w) = 7(w + -1)
5w + 1 + (-5 * -2 + -3w * -2) = 7(w + -1)
5w + 1 + (10 + 6w) = 7(w + -1)

Reorder the terms:
1 + 10 + 5w + 6w = 7(w + -1)

Combine like terms: 1 + 10 = 11
11 + 5w + 6w = 7(w + -1)

Combine like terms: 5w + 6w = 11w
11 + 11w = 7(w + -1)

Reorder the terms:
11 + 11w = 7(-1 + w)
11 + 11w = (-1 * 7 + w * 7)
11 + 11w = (-7 + 7w)

Solving
11 + 11w = -7 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
11 + 11w + -7w = -7 + 7w + -7w

Combine like terms: 11w + -7w = 4w
11 + 4w = -7 + 7w + -7w

Combine like terms: 7w + -7w = 0
11 + 4w = -7 + 0
11 + 4w = -7

Add '-11' to each side of the equation.
11 + -11 + 4w = -7 + -11

Combine like terms: 11 + -11 = 0
0 + 4w = -7 + -11
4w = -7 + -11

Combine like terms: -7 + -11 = -18
4w = -18

Divide each side by '4'.
w = -4.5

Simplifying
w = -4.5

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