7w-5=8w+12

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Solution for 7w-5=8w+12 equation:


Simplifying
7w + -5 = 8w + 12

Reorder the terms:
-5 + 7w = 8w + 12

Reorder the terms:
-5 + 7w = 12 + 8w

Solving
-5 + 7w = 12 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
-5 + 7w + -8w = 12 + 8w + -8w

Combine like terms: 7w + -8w = -1w
-5 + -1w = 12 + 8w + -8w

Combine like terms: 8w + -8w = 0
-5 + -1w = 12 + 0
-5 + -1w = 12

Add '5' to each side of the equation.
-5 + 5 + -1w = 12 + 5

Combine like terms: -5 + 5 = 0
0 + -1w = 12 + 5
-1w = 12 + 5

Combine like terms: 12 + 5 = 17
-1w = 17

Divide each side by '-1'.
w = -17

Simplifying
w = -17

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