5w-7=3w-1

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Solution for 5w-7=3w-1 equation:


Simplifying
5w + -7 = 3w + -1

Reorder the terms:
-7 + 5w = 3w + -1

Reorder the terms:
-7 + 5w = -1 + 3w

Solving
-7 + 5w = -1 + 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.
-7 + 5w + -3w = -1 + 3w + -3w

Combine like terms: 5w + -3w = 2w
-7 + 2w = -1 + 3w + -3w

Combine like terms: 3w + -3w = 0
-7 + 2w = -1 + 0
-7 + 2w = -1

Add '7' to each side of the equation.
-7 + 7 + 2w = -1 + 7

Combine like terms: -7 + 7 = 0
0 + 2w = -1 + 7
2w = -1 + 7

Combine like terms: -1 + 7 = 6
2w = 6

Divide each side by '2'.
w = 3

Simplifying
w = 3

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