3-(4w+5)=5(8w+28)

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Solution for 3-(4w+5)=5(8w+28) equation:


Simplifying
3 + -1(4w + 5) = 5(8w + 28)

Reorder the terms:
3 + -1(5 + 4w) = 5(8w + 28)
3 + (5 * -1 + 4w * -1) = 5(8w + 28)
3 + (-5 + -4w) = 5(8w + 28)

Combine like terms: 3 + -5 = -2
-2 + -4w = 5(8w + 28)

Reorder the terms:
-2 + -4w = 5(28 + 8w)
-2 + -4w = (28 * 5 + 8w * 5)
-2 + -4w = (140 + 40w)

Solving
-2 + -4w = 140 + 40w

Solving for variable 'w'.

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

Add '-40w' to each side of the equation.
-2 + -4w + -40w = 140 + 40w + -40w

Combine like terms: -4w + -40w = -44w
-2 + -44w = 140 + 40w + -40w

Combine like terms: 40w + -40w = 0
-2 + -44w = 140 + 0
-2 + -44w = 140

Add '2' to each side of the equation.
-2 + 2 + -44w = 140 + 2

Combine like terms: -2 + 2 = 0
0 + -44w = 140 + 2
-44w = 140 + 2

Combine like terms: 140 + 2 = 142
-44w = 142

Divide each side by '-44'.
w = -3.227272727

Simplifying
w = -3.227272727

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