4w-5=2w+9

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


Simplifying
4w + -5 = 2w + 9

Reorder the terms:
-5 + 4w = 2w + 9

Reorder the terms:
-5 + 4w = 9 + 2w

Solving
-5 + 4w = 9 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-5 + 4w + -2w = 9 + 2w + -2w

Combine like terms: 4w + -2w = 2w
-5 + 2w = 9 + 2w + -2w

Combine like terms: 2w + -2w = 0
-5 + 2w = 9 + 0
-5 + 2w = 9

Add '5' to each side of the equation.
-5 + 5 + 2w = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 2w = 9 + 5
2w = 9 + 5

Combine like terms: 9 + 5 = 14
2w = 14

Divide each side by '2'.
w = 7

Simplifying
w = 7

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