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 = 12w
-14 + 12w = 15 + -5w + 5w

Combine like terms: -5w + 5w = 0
-14 + 12w = 15 + 0
-14 + 12w = 15

Add '14' to each side of the equation.
-14 + 14 + 12w = 15 + 14

Combine like terms: -14 + 14 = 0
0 + 12w = 15 + 14
12w = 15 + 14

Combine like terms: 15 + 14 = 29
12w = 29

Divide each side by '12'.
w = 2.416666667

Simplifying
w = 2.416666667

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