4w-5=2w+7

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Solution for 4w-5=2w+7 equation:


Simplifying
4w + -5 = 2w + 7

Reorder the terms:
-5 + 4w = 2w + 7

Reorder the terms:
-5 + 4w = 7 + 2w

Solving
-5 + 4w = 7 + 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 = 7 + 2w + -2w

Combine like terms: 4w + -2w = 2w
-5 + 2w = 7 + 2w + -2w

Combine like terms: 2w + -2w = 0
-5 + 2w = 7 + 0
-5 + 2w = 7

Add '5' to each side of the equation.
-5 + 5 + 2w = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 2w = 7 + 5
2w = 7 + 5

Combine like terms: 7 + 5 = 12
2w = 12

Divide each side by '2'.
w = 6

Simplifying
w = 6

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