3(w+5)-(-8w-4)=10w

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Solution for 3(w+5)-(-8w-4)=10w equation:


Simplifying
3(w + 5) + -1(-8w + -4) = 10w

Reorder the terms:
3(5 + w) + -1(-8w + -4) = 10w
(5 * 3 + w * 3) + -1(-8w + -4) = 10w
(15 + 3w) + -1(-8w + -4) = 10w

Reorder the terms:
15 + 3w + -1(-4 + -8w) = 10w
15 + 3w + (-4 * -1 + -8w * -1) = 10w
15 + 3w + (4 + 8w) = 10w

Reorder the terms:
15 + 4 + 3w + 8w = 10w

Combine like terms: 15 + 4 = 19
19 + 3w + 8w = 10w

Combine like terms: 3w + 8w = 11w
19 + 11w = 10w

Solving
19 + 11w = 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.
19 + 11w + -10w = 10w + -10w

Combine like terms: 11w + -10w = 1w
19 + 1w = 10w + -10w

Combine like terms: 10w + -10w = 0
19 + 1w = 0

Add '-19' to each side of the equation.
19 + -19 + 1w = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 1w = 0 + -19
1w = 0 + -19

Combine like terms: 0 + -19 = -19
1w = -19

Divide each side by '1'.
w = -19

Simplifying
w = -19

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