8w-12+6-3w=7+2(w-5)

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Solution for 8w-12+6-3w=7+2(w-5) equation:


Simplifying
8w + -12 + 6 + -3w = 7 + 2(w + -5)

Reorder the terms:
-12 + 6 + 8w + -3w = 7 + 2(w + -5)

Combine like terms: -12 + 6 = -6
-6 + 8w + -3w = 7 + 2(w + -5)

Combine like terms: 8w + -3w = 5w
-6 + 5w = 7 + 2(w + -5)

Reorder the terms:
-6 + 5w = 7 + 2(-5 + w)
-6 + 5w = 7 + (-5 * 2 + w * 2)
-6 + 5w = 7 + (-10 + 2w)

Combine like terms: 7 + -10 = -3
-6 + 5w = -3 + 2w

Solving
-6 + 5w = -3 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-6 + 5w + -2w = -3 + 2w + -2w

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

Combine like terms: 2w + -2w = 0
-6 + 3w = -3 + 0
-6 + 3w = -3

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

Combine like terms: -6 + 6 = 0
0 + 3w = -3 + 6
3w = -3 + 6

Combine like terms: -3 + 6 = 3
3w = 3

Divide each side by '3'.
w = 1

Simplifying
w = 1

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