2(w+4)=5(w+1)

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Solution for 2(w+4)=5(w+1) equation:


Simplifying
2(w + 4) = 5(w + 1)

Reorder the terms:
2(4 + w) = 5(w + 1)
(4 * 2 + w * 2) = 5(w + 1)
(8 + 2w) = 5(w + 1)

Reorder the terms:
8 + 2w = 5(1 + w)
8 + 2w = (1 * 5 + w * 5)
8 + 2w = (5 + 5w)

Solving
8 + 2w = 5 + 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 + 2w + -5w = 5 + 5w + -5w

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

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

Add '-8' to each side of the equation.
8 + -8 + -3w = 5 + -8

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

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

Divide each side by '-3'.
w = 1

Simplifying
w = 1

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