9w-2(w+4)=5w+3

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Solution for 9w-2(w+4)=5w+3 equation:


Simplifying
9w + -2(w + 4) = 5w + 3

Reorder the terms:
9w + -2(4 + w) = 5w + 3
9w + (4 * -2 + w * -2) = 5w + 3
9w + (-8 + -2w) = 5w + 3

Reorder the terms:
-8 + 9w + -2w = 5w + 3

Combine like terms: 9w + -2w = 7w
-8 + 7w = 5w + 3

Reorder the terms:
-8 + 7w = 3 + 5w

Solving
-8 + 7w = 3 + 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.
-8 + 7w + -5w = 3 + 5w + -5w

Combine like terms: 7w + -5w = 2w
-8 + 2w = 3 + 5w + -5w

Combine like terms: 5w + -5w = 0
-8 + 2w = 3 + 0
-8 + 2w = 3

Add '8' to each side of the equation.
-8 + 8 + 2w = 3 + 8

Combine like terms: -8 + 8 = 0
0 + 2w = 3 + 8
2w = 3 + 8

Combine like terms: 3 + 8 = 11
2w = 11

Divide each side by '2'.
w = 5.5

Simplifying
w = 5.5

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