[8]w+5(1[w+7]1)=17

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Solution for [8]w+5(1[w+7]1)=17 equation:


Simplifying
[8] * w + 5(1[w + 7] * 1) = 17

Reorder the terms:
8w + 5(1[7 + w] * 1) = 17

Reorder the terms for easier multiplication:
8w + 5(1 * 1[7 + w]) = 17

Multiply 1 * 1
8w + 5(1[7 + w]) = 17
8w + 5([7 * 1 + w * 1]) = 17
8w + 5([7 + 1w]) = 17
8w + (7 * 5 + 1w * 5) = 17
8w + (35 + 5w) = 17

Reorder the terms:
35 + 8w + 5w = 17

Combine like terms: 8w + 5w = 13w
35 + 13w = 17

Solving
35 + 13w = 17

Solving for variable 'w'.

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

Add '-35' to each side of the equation.
35 + -35 + 13w = 17 + -35

Combine like terms: 35 + -35 = 0
0 + 13w = 17 + -35
13w = 17 + -35

Combine like terms: 17 + -35 = -18
13w = -18

Divide each side by '13'.
w = -1.384615385

Simplifying
w = -1.384615385

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