2.1(5w-3)+8.2=6w+22.95

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Solution for 2.1(5w-3)+8.2=6w+22.95 equation: 


Simplifying
2.1(5w + -3) + 8.2 = 6w + 22.95

Reorder the terms:
2.1(-3 + 5w) + 8.2 = 6w + 22.95
(-3 * 2.1 + 5w * 2.1) + 8.2 = 6w + 22.95
(-6.3 + 10.5w) + 8.2 = 6w + 22.95

Reorder the terms:
-6.3 + 8.2 + 10.5w = 6w + 22.95

Combine like terms: -6.3 + 8.2 = 1.9
1.9 + 10.5w = 6w + 22.95

Reorder the terms:
1.9 + 10.5w = 22.95 + 6w

Solving
1.9 + 10.5w = 22.95 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
1.9 + 10.5w + -6w = 22.95 + 6w + -6w

Combine like terms: 10.5w + -6w = 4.5w
1.9 + 4.5w = 22.95 + 6w + -6w

Combine like terms: 6w + -6w = 0
1.9 + 4.5w = 22.95 + 0
1.9 + 4.5w = 22.95

Add '-1.9' to each side of the equation.
1.9 + -1.9 + 4.5w = 22.95 + -1.9

Combine like terms: 1.9 + -1.9 = 0.0
0.0 + 4.5w = 22.95 + -1.9
4.5w = 22.95 + -1.9

Combine like terms: 22.95 + -1.9 = 21.05
4.5w = 21.05

Divide each side by '4.5'.
w = 4.677777778

Simplifying
w = 4.677777778

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