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

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


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

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

Combine like terms: 5 + -15 = -10
-10 + 6w = -2(7w + -1) + 5w

Reorder the terms:
-10 + 6w = -2(-1 + 7w) + 5w
-10 + 6w = (-1 * -2 + 7w * -2) + 5w
-10 + 6w = (2 + -14w) + 5w

Combine like terms: -14w + 5w = -9w
-10 + 6w = 2 + -9w

Solving
-10 + 6w = 2 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
-10 + 6w + 9w = 2 + -9w + 9w

Combine like terms: 6w + 9w = 15w
-10 + 15w = 2 + -9w + 9w

Combine like terms: -9w + 9w = 0
-10 + 15w = 2 + 0
-10 + 15w = 2

Add '10' to each side of the equation.
-10 + 10 + 15w = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 15w = 2 + 10
15w = 2 + 10

Combine like terms: 2 + 10 = 12
15w = 12

Divide each side by '15'.
w = 0.8

Simplifying
w = 0.8

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