5w-7=12w-36+8

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Solution for 5w-7=12w-36+8 equation:


Simplifying
5w + -7 = 12w + -36 + 8

Reorder the terms:
-7 + 5w = 12w + -36 + 8

Reorder the terms:
-7 + 5w = -36 + 8 + 12w

Combine like terms: -36 + 8 = -28
-7 + 5w = -28 + 12w

Solving
-7 + 5w = -28 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
-7 + 5w + -12w = -28 + 12w + -12w

Combine like terms: 5w + -12w = -7w
-7 + -7w = -28 + 12w + -12w

Combine like terms: 12w + -12w = 0
-7 + -7w = -28 + 0
-7 + -7w = -28

Add '7' to each side of the equation.
-7 + 7 + -7w = -28 + 7

Combine like terms: -7 + 7 = 0
0 + -7w = -28 + 7
-7w = -28 + 7

Combine like terms: -28 + 7 = -21
-7w = -21

Divide each side by '-7'.
w = 3

Simplifying
w = 3

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