2w+46=10w+74

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Solution for 2w+46=10w+74 equation:


Simplifying
2w + 46 = 10w + 74

Reorder the terms:
46 + 2w = 10w + 74

Reorder the terms:
46 + 2w = 74 + 10w

Solving
46 + 2w = 74 + 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
46 + 2w + -10w = 74 + 10w + -10w

Combine like terms: 2w + -10w = -8w
46 + -8w = 74 + 10w + -10w

Combine like terms: 10w + -10w = 0
46 + -8w = 74 + 0
46 + -8w = 74

Add '-46' to each side of the equation.
46 + -46 + -8w = 74 + -46

Combine like terms: 46 + -46 = 0
0 + -8w = 74 + -46
-8w = 74 + -46

Combine like terms: 74 + -46 = 28
-8w = 28

Divide each side by '-8'.
w = -3.5

Simplifying
w = -3.5

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