10(5+w)=3(w+5)

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Solution for 10(5+w)=3(w+5) equation: 


Simplifying
10(5 + w) = 3(w + 5)
(5 * 10 + w * 10) = 3(w + 5)
(50 + 10w) = 3(w + 5)

Reorder the terms:
50 + 10w = 3(5 + w)
50 + 10w = (5 * 3 + w * 3)
50 + 10w = (15 + 3w)

Solving
50 + 10w = 15 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
50 + 10w + -3w = 15 + 3w + -3w

Combine like terms: 10w + -3w = 7w
50 + 7w = 15 + 3w + -3w

Combine like terms: 3w + -3w = 0
50 + 7w = 15 + 0
50 + 7w = 15

Add '-50' to each side of the equation.
50 + -50 + 7w = 15 + -50

Combine like terms: 50 + -50 = 0
0 + 7w = 15 + -50
7w = 15 + -50

Combine like terms: 15 + -50 = -35
7w = -35

Divide each side by '7'.
w = -5

Simplifying
w = -5

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