10(w+5)=5(w-2)

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Solution for 10(w+5)=5(w-2) equation:


Simplifying
10(w + 5) = 5(w + -2)

Reorder the terms:
10(5 + w) = 5(w + -2)
(5 * 10 + w * 10) = 5(w + -2)
(50 + 10w) = 5(w + -2)

Reorder the terms:
50 + 10w = 5(-2 + w)
50 + 10w = (-2 * 5 + w * 5)
50 + 10w = (-10 + 5w)

Solving
50 + 10w = -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.
50 + 10w + -5w = -10 + 5w + -5w

Combine like terms: 10w + -5w = 5w
50 + 5w = -10 + 5w + -5w

Combine like terms: 5w + -5w = 0
50 + 5w = -10 + 0
50 + 5w = -10

Add '-50' to each side of the equation.
50 + -50 + 5w = -10 + -50

Combine like terms: 50 + -50 = 0
0 + 5w = -10 + -50
5w = -10 + -50

Combine like terms: -10 + -50 = -60
5w = -60

Divide each side by '5'.
w = -12

Simplifying
w = -12

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