6(w-4)=5(w-2)

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Solution for 6(w-4)=5(w-2) equation:


Simplifying
6(w + -4) = 5(w + -2)

Reorder the terms:
6(-4 + w) = 5(w + -2)
(-4 * 6 + w * 6) = 5(w + -2)
(-24 + 6w) = 5(w + -2)

Reorder the terms:
-24 + 6w = 5(-2 + w)
-24 + 6w = (-2 * 5 + w * 5)
-24 + 6w = (-10 + 5w)

Solving
-24 + 6w = -10 + 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.
-24 + 6w + -5w = -10 + 5w + -5w

Combine like terms: 6w + -5w = 1w
-24 + 1w = -10 + 5w + -5w

Combine like terms: 5w + -5w = 0
-24 + 1w = -10 + 0
-24 + 1w = -10

Add '24' to each side of the equation.
-24 + 24 + 1w = -10 + 24

Combine like terms: -24 + 24 = 0
0 + 1w = -10 + 24
1w = -10 + 24

Combine like terms: -10 + 24 = 14
1w = 14

Divide each side by '1'.
w = 14

Simplifying
w = 14

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