17-3(w-5)=6(w+5)-2w

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Solution for 17-3(w-5)=6(w+5)-2w equation:


Simplifying
17 + -3(w + -5) = 6(w + 5) + -2w

Reorder the terms:
17 + -3(-5 + w) = 6(w + 5) + -2w
17 + (-5 * -3 + w * -3) = 6(w + 5) + -2w
17 + (15 + -3w) = 6(w + 5) + -2w

Combine like terms: 17 + 15 = 32
32 + -3w = 6(w + 5) + -2w

Reorder the terms:
32 + -3w = 6(5 + w) + -2w
32 + -3w = (5 * 6 + w * 6) + -2w
32 + -3w = (30 + 6w) + -2w

Combine like terms: 6w + -2w = 4w
32 + -3w = 30 + 4w

Solving
32 + -3w = 30 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
32 + -3w + -4w = 30 + 4w + -4w

Combine like terms: -3w + -4w = -7w
32 + -7w = 30 + 4w + -4w

Combine like terms: 4w + -4w = 0
32 + -7w = 30 + 0
32 + -7w = 30

Add '-32' to each side of the equation.
32 + -32 + -7w = 30 + -32

Combine like terms: 32 + -32 = 0
0 + -7w = 30 + -32
-7w = 30 + -32

Combine like terms: 30 + -32 = -2
-7w = -2

Divide each side by '-7'.
w = 0.2857142857

Simplifying
w = 0.2857142857

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