2(6-w)+10=-10(w-5)-5

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Solution for 2(6-w)+10=-10(w-5)-5 equation: 


Simplifying
2(6 + -1w) + 10 = -10(w + -5) + -5
(6 * 2 + -1w * 2) + 10 = -10(w + -5) + -5
(12 + -2w) + 10 = -10(w + -5) + -5

Reorder the terms:
12 + 10 + -2w = -10(w + -5) + -5

Combine like terms: 12 + 10 = 22
22 + -2w = -10(w + -5) + -5

Reorder the terms:
22 + -2w = -10(-5 + w) + -5
22 + -2w = (-5 * -10 + w * -10) + -5
22 + -2w = (50 + -10w) + -5

Reorder the terms:
22 + -2w = 50 + -5 + -10w

Combine like terms: 50 + -5 = 45
22 + -2w = 45 + -10w

Solving
22 + -2w = 45 + -10w

Solving for variable 'w'.

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

Add '10w' to each side of the equation.
22 + -2w + 10w = 45 + -10w + 10w

Combine like terms: -2w + 10w = 8w
22 + 8w = 45 + -10w + 10w

Combine like terms: -10w + 10w = 0
22 + 8w = 45 + 0
22 + 8w = 45

Add '-22' to each side of the equation.
22 + -22 + 8w = 45 + -22

Combine like terms: 22 + -22 = 0
0 + 8w = 45 + -22
8w = 45 + -22

Combine like terms: 45 + -22 = 23
8w = 23

Divide each side by '8'.
w = 2.875

Simplifying
w = 2.875

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