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

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


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

Reorder the terms:
-7(-2 + w) = 5(3 + -1w)
(-2 * -7 + w * -7) = 5(3 + -1w)
(14 + -7w) = 5(3 + -1w)
14 + -7w = (3 * 5 + -1w * 5)
14 + -7w = (15 + -5w)

Solving
14 + -7w = 15 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
14 + -7w + 5w = 15 + -5w + 5w

Combine like terms: -7w + 5w = -2w
14 + -2w = 15 + -5w + 5w

Combine like terms: -5w + 5w = 0
14 + -2w = 15 + 0
14 + -2w = 15

Add '-14' to each side of the equation.
14 + -14 + -2w = 15 + -14

Combine like terms: 14 + -14 = 0
0 + -2w = 15 + -14
-2w = 15 + -14

Combine like terms: 15 + -14 = 1
-2w = 1

Divide each side by '-2'.
w = -0.5

Simplifying
w = -0.5

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