-5w+19=-8(w-5)

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Solution for -5w+19=-8(w-5) equation:


Simplifying
-5w + 19 = -8(w + -5)

Reorder the terms:
19 + -5w = -8(w + -5)

Reorder the terms:
19 + -5w = -8(-5 + w)
19 + -5w = (-5 * -8 + w * -8)
19 + -5w = (40 + -8w)

Solving
19 + -5w = 40 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
19 + -5w + 8w = 40 + -8w + 8w

Combine like terms: -5w + 8w = 3w
19 + 3w = 40 + -8w + 8w

Combine like terms: -8w + 8w = 0
19 + 3w = 40 + 0
19 + 3w = 40

Add '-19' to each side of the equation.
19 + -19 + 3w = 40 + -19

Combine like terms: 19 + -19 = 0
0 + 3w = 40 + -19
3w = 40 + -19

Combine like terms: 40 + -19 = 21
3w = 21

Divide each side by '3'.
w = 7

Simplifying
w = 7

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