5(2w-3)-5=-2(4-3w)

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Solution for 5(2w-3)-5=-2(4-3w) equation:


Simplifying
5(2w + -3) + -5 = -2(4 + -3w)

Reorder the terms:
5(-3 + 2w) + -5 = -2(4 + -3w)
(-3 * 5 + 2w * 5) + -5 = -2(4 + -3w)
(-15 + 10w) + -5 = -2(4 + -3w)

Reorder the terms:
-15 + -5 + 10w = -2(4 + -3w)

Combine like terms: -15 + -5 = -20
-20 + 10w = -2(4 + -3w)
-20 + 10w = (4 * -2 + -3w * -2)
-20 + 10w = (-8 + 6w)

Solving
-20 + 10w = -8 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-20 + 10w + -6w = -8 + 6w + -6w

Combine like terms: 10w + -6w = 4w
-20 + 4w = -8 + 6w + -6w

Combine like terms: 6w + -6w = 0
-20 + 4w = -8 + 0
-20 + 4w = -8

Add '20' to each side of the equation.
-20 + 20 + 4w = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 4w = -8 + 20
4w = -8 + 20

Combine like terms: -8 + 20 = 12
4w = 12

Divide each side by '4'.
w = 3

Simplifying
w = 3

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