5w-23=-3(w-3)

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


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

Reorder the terms:
-23 + 5w = -3(w + -3)

Reorder the terms:
-23 + 5w = -3(-3 + w)
-23 + 5w = (-3 * -3 + w * -3)
-23 + 5w = (9 + -3w)

Solving
-23 + 5w = 9 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
-23 + 5w + 3w = 9 + -3w + 3w

Combine like terms: 5w + 3w = 8w
-23 + 8w = 9 + -3w + 3w

Combine like terms: -3w + 3w = 0
-23 + 8w = 9 + 0
-23 + 8w = 9

Add '23' to each side of the equation.
-23 + 23 + 8w = 9 + 23

Combine like terms: -23 + 23 = 0
0 + 8w = 9 + 23
8w = 9 + 23

Combine like terms: 9 + 23 = 32
8w = 32

Divide each side by '8'.
w = 4

Simplifying
w = 4

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