5w-2=4w-5

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Solution for 5w-2=4w-5 equation:


Simplifying
5w + -2 = 4w + -5

Reorder the terms:
-2 + 5w = 4w + -5

Reorder the terms:
-2 + 5w = -5 + 4w

Solving
-2 + 5w = -5 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-2 + 5w + -4w = -5 + 4w + -4w

Combine like terms: 5w + -4w = 1w
-2 + 1w = -5 + 4w + -4w

Combine like terms: 4w + -4w = 0
-2 + 1w = -5 + 0
-2 + 1w = -5

Add '2' to each side of the equation.
-2 + 2 + 1w = -5 + 2

Combine like terms: -2 + 2 = 0
0 + 1w = -5 + 2
1w = -5 + 2

Combine like terms: -5 + 2 = -3
1w = -3

Divide each side by '1'.
w = -3

Simplifying
w = -3

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