5(6w-3)-7=17+3w-5(2w+1)

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Solution for 5(6w-3)-7=17+3w-5(2w+1) equation:


Simplifying
5(6w + -3) + -7 = 17 + 3w + -5(2w + 1)

Reorder the terms:
5(-3 + 6w) + -7 = 17 + 3w + -5(2w + 1)
(-3 * 5 + 6w * 5) + -7 = 17 + 3w + -5(2w + 1)
(-15 + 30w) + -7 = 17 + 3w + -5(2w + 1)

Reorder the terms:
-15 + -7 + 30w = 17 + 3w + -5(2w + 1)

Combine like terms: -15 + -7 = -22
-22 + 30w = 17 + 3w + -5(2w + 1)

Reorder the terms:
-22 + 30w = 17 + 3w + -5(1 + 2w)
-22 + 30w = 17 + 3w + (1 * -5 + 2w * -5)
-22 + 30w = 17 + 3w + (-5 + -10w)

Reorder the terms:
-22 + 30w = 17 + -5 + 3w + -10w

Combine like terms: 17 + -5 = 12
-22 + 30w = 12 + 3w + -10w

Combine like terms: 3w + -10w = -7w
-22 + 30w = 12 + -7w

Solving
-22 + 30w = 12 + -7w

Solving for variable 'w'.

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

Add '7w' to each side of the equation.
-22 + 30w + 7w = 12 + -7w + 7w

Combine like terms: 30w + 7w = 37w
-22 + 37w = 12 + -7w + 7w

Combine like terms: -7w + 7w = 0
-22 + 37w = 12 + 0
-22 + 37w = 12

Add '22' to each side of the equation.
-22 + 22 + 37w = 12 + 22

Combine like terms: -22 + 22 = 0
0 + 37w = 12 + 22
37w = 12 + 22

Combine like terms: 12 + 22 = 34
37w = 34

Divide each side by '37'.
w = 0.9189189189

Simplifying
w = 0.9189189189

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