4(x+1)+w=5(w-1)+9

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Solution for 4(x+1)+w=5(w-1)+9 equation:


Simplifying
4(x + 1) + w = 5(w + -1) + 9

Reorder the terms:
4(1 + x) + w = 5(w + -1) + 9
(1 * 4 + x * 4) + w = 5(w + -1) + 9
(4 + 4x) + w = 5(w + -1) + 9

Reorder the terms:
4 + w + 4x = 5(w + -1) + 9

Reorder the terms:
4 + w + 4x = 5(-1 + w) + 9
4 + w + 4x = (-1 * 5 + w * 5) + 9
4 + w + 4x = (-5 + 5w) + 9

Reorder the terms:
4 + w + 4x = -5 + 9 + 5w

Combine like terms: -5 + 9 = 4
4 + w + 4x = 4 + 5w

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

Reorder the terms:
4 + -4 + w + 4x = 4 + -4 + 5w

Combine like terms: 4 + -4 = 0
0 + w + 4x = 4 + -4 + 5w
w + 4x = 4 + -4 + 5w

Combine like terms: 4 + -4 = 0
w + 4x = 0 + 5w
w + 4x = 5w

Solving
w + 4x = 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.
w + -5w + 4x = 5w + -5w

Combine like terms: w + -5w = -4w
-4w + 4x = 5w + -5w

Combine like terms: 5w + -5w = 0
-4w + 4x = 0

Add '-4x' to each side of the equation.
-4w + 4x + -4x = 0 + -4x

Combine like terms: 4x + -4x = 0
-4w + 0 = 0 + -4x
-4w = 0 + -4x
Remove the zero:
-4w = -4x

Divide each side by '-4'.
w = x

Simplifying
w = x

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