23-3(2w+1)=5w-3(5+w)

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Solution for 23-3(2w+1)=5w-3(5+w) equation: 


Simplifying
23 + -3(2w + 1) = 5w + -3(5 + w)

Reorder the terms:
23 + -3(1 + 2w) = 5w + -3(5 + w)
23 + (1 * -3 + 2w * -3) = 5w + -3(5 + w)
23 + (-3 + -6w) = 5w + -3(5 + w)

Combine like terms: 23 + -3 = 20
20 + -6w = 5w + -3(5 + w)
20 + -6w = 5w + (5 * -3 + w * -3)
20 + -6w = 5w + (-15 + -3w)

Reorder the terms:
20 + -6w = -15 + 5w + -3w

Combine like terms: 5w + -3w = 2w
20 + -6w = -15 + 2w

Solving
20 + -6w = -15 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
20 + -6w + -2w = -15 + 2w + -2w

Combine like terms: -6w + -2w = -8w
20 + -8w = -15 + 2w + -2w

Combine like terms: 2w + -2w = 0
20 + -8w = -15 + 0
20 + -8w = -15

Add '-20' to each side of the equation.
20 + -20 + -8w = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -8w = -15 + -20
-8w = -15 + -20

Combine like terms: -15 + -20 = -35
-8w = -35

Divide each side by '-8'.
w = 4.375

Simplifying
w = 4.375

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