5(w-4)+3w-8=6(w-4)

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Solution for 5(w-4)+3w-8=6(w-4) equation:


Simplifying
5(w + -4) + 3w + -8 = 6(w + -4)

Reorder the terms:
5(-4 + w) + 3w + -8 = 6(w + -4)
(-4 * 5 + w * 5) + 3w + -8 = 6(w + -4)
(-20 + 5w) + 3w + -8 = 6(w + -4)

Reorder the terms:
-20 + -8 + 5w + 3w = 6(w + -4)

Combine like terms: -20 + -8 = -28
-28 + 5w + 3w = 6(w + -4)

Combine like terms: 5w + 3w = 8w
-28 + 8w = 6(w + -4)

Reorder the terms:
-28 + 8w = 6(-4 + w)
-28 + 8w = (-4 * 6 + w * 6)
-28 + 8w = (-24 + 6w)

Solving
-28 + 8w = -24 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-28 + 8w + -6w = -24 + 6w + -6w

Combine like terms: 8w + -6w = 2w
-28 + 2w = -24 + 6w + -6w

Combine like terms: 6w + -6w = 0
-28 + 2w = -24 + 0
-28 + 2w = -24

Add '28' to each side of the equation.
-28 + 28 + 2w = -24 + 28

Combine like terms: -28 + 28 = 0
0 + 2w = -24 + 28
2w = -24 + 28

Combine like terms: -24 + 28 = 4
2w = 4

Divide each side by '2'.
w = 2

Simplifying
w = 2

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