5(x+4)=4(x+5)

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Solution for 5(x+4)=4(x+5) equation:


Simplifying
5(x + 4) = 4(x + 5)

Reorder the terms:
5(4 + x) = 4(x + 5)
(4 * 5 + x * 5) = 4(x + 5)
(20 + 5x) = 4(x + 5)

Reorder the terms:
20 + 5x = 4(5 + x)
20 + 5x = (5 * 4 + x * 4)
20 + 5x = (20 + 4x)

Add '-20' to each side of the equation.
20 + -20 + 5x = 20 + -20 + 4x

Combine like terms: 20 + -20 = 0
0 + 5x = 20 + -20 + 4x
5x = 20 + -20 + 4x

Combine like terms: 20 + -20 = 0
5x = 0 + 4x
5x = 4x

Solving
5x = 4x

Solving for variable 'x'.

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

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

Combine like terms: 5x + -4x = 1x
1x = 4x + -4x

Combine like terms: 4x + -4x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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