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

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


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

Reorder the terms:
5(2 + w) = 4(w + 1)
(2 * 5 + w * 5) = 4(w + 1)
(10 + 5w) = 4(w + 1)

Reorder the terms:
10 + 5w = 4(1 + w)
10 + 5w = (1 * 4 + w * 4)
10 + 5w = (4 + 4w)

Solving
10 + 5w = 4 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
10 + 5w + -4w = 4 + 4w + -4w

Combine like terms: 5w + -4w = 1w
10 + 1w = 4 + 4w + -4w

Combine like terms: 4w + -4w = 0
10 + 1w = 4 + 0
10 + 1w = 4

Add '-10' to each side of the equation.
10 + -10 + 1w = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 1w = 4 + -10
1w = 4 + -10

Combine like terms: 4 + -10 = -6
1w = -6

Divide each side by '1'.
w = -6

Simplifying
w = -6

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