7.5(w-2.5)=1.5(3-2w)

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Solution for 7.5(w-2.5)=1.5(3-2w) equation: 


Simplifying
7.5(w + -2.5) = 1.5(3 + -2w)

Reorder the terms:
7.5(-2.5 + w) = 1.5(3 + -2w)
(-2.5 * 7.5 + w * 7.5) = 1.5(3 + -2w)
(-18.75 + 7.5w) = 1.5(3 + -2w)
-18.75 + 7.5w = (3 * 1.5 + -2w * 1.5)
-18.75 + 7.5w = (4.5 + -3w)

Solving
-18.75 + 7.5w = 4.5 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
-18.75 + 7.5w + 3w = 4.5 + -3w + 3w

Combine like terms: 7.5w + 3w = 10.5w
-18.75 + 10.5w = 4.5 + -3w + 3w

Combine like terms: -3w + 3w = 0
-18.75 + 10.5w = 4.5 + 0
-18.75 + 10.5w = 4.5

Add '18.75' to each side of the equation.
-18.75 + 18.75 + 10.5w = 4.5 + 18.75

Combine like terms: -18.75 + 18.75 = 0.00
0.00 + 10.5w = 4.5 + 18.75
10.5w = 4.5 + 18.75

Combine like terms: 4.5 + 18.75 = 23.25
10.5w = 23.25

Divide each side by '10.5'.
w = 2.214285714

Simplifying
w = 2.214285714

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