3w-6=5w+7

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Solution for 3w-6=5w+7 equation:


Simplifying
3w + -6 = 5w + 7

Reorder the terms:
-6 + 3w = 5w + 7

Reorder the terms:
-6 + 3w = 7 + 5w

Solving
-6 + 3w = 7 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
-6 + 3w + -5w = 7 + 5w + -5w

Combine like terms: 3w + -5w = -2w
-6 + -2w = 7 + 5w + -5w

Combine like terms: 5w + -5w = 0
-6 + -2w = 7 + 0
-6 + -2w = 7

Add '6' to each side of the equation.
-6 + 6 + -2w = 7 + 6

Combine like terms: -6 + 6 = 0
0 + -2w = 7 + 6
-2w = 7 + 6

Combine like terms: 7 + 6 = 13
-2w = 13

Divide each side by '-2'.
w = -6.5

Simplifying
w = -6.5

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