2w+5=3w+7

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Solution for 2w+5=3w+7 equation:


Simplifying
2w + 5 = 3w + 7

Reorder the terms:
5 + 2w = 3w + 7

Reorder the terms:
5 + 2w = 7 + 3w

Solving
5 + 2w = 7 + 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.
5 + 2w + -3w = 7 + 3w + -3w

Combine like terms: 2w + -3w = -1w
5 + -1w = 7 + 3w + -3w

Combine like terms: 3w + -3w = 0
5 + -1w = 7 + 0
5 + -1w = 7

Add '-5' to each side of the equation.
5 + -5 + -1w = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 7 + -5
-1w = 7 + -5

Combine like terms: 7 + -5 = 2
-1w = 2

Divide each side by '-1'.
w = -2

Simplifying
w = -2

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