-2(3w-5)+9w=5+3(5w-3)

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Solution for -2(3w-5)+9w=5+3(5w-3) equation:


Simplifying
-2(3w + -5) + 9w = 5 + 3(5w + -3)

Reorder the terms:
-2(-5 + 3w) + 9w = 5 + 3(5w + -3)
(-5 * -2 + 3w * -2) + 9w = 5 + 3(5w + -3)
(10 + -6w) + 9w = 5 + 3(5w + -3)

Combine like terms: -6w + 9w = 3w
10 + 3w = 5 + 3(5w + -3)

Reorder the terms:
10 + 3w = 5 + 3(-3 + 5w)
10 + 3w = 5 + (-3 * 3 + 5w * 3)
10 + 3w = 5 + (-9 + 15w)

Combine like terms: 5 + -9 = -4
10 + 3w = -4 + 15w

Solving
10 + 3w = -4 + 15w

Solving for variable 'w'.

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

Add '-15w' to each side of the equation.
10 + 3w + -15w = -4 + 15w + -15w

Combine like terms: 3w + -15w = -12w
10 + -12w = -4 + 15w + -15w

Combine like terms: 15w + -15w = 0
10 + -12w = -4 + 0
10 + -12w = -4

Add '-10' to each side of the equation.
10 + -10 + -12w = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -12w = -4 + -10
-12w = -4 + -10

Combine like terms: -4 + -10 = -14
-12w = -14

Divide each side by '-12'.
w = 1.166666667

Simplifying
w = 1.166666667

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