4(5+x)=5(4x-1)-55

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Solution for 4(5+x)=5(4x-1)-55 equation: 


Simplifying
4(5 + x) = 5(4x + -1) + -55
(5 * 4 + x * 4) = 5(4x + -1) + -55
(20 + 4x) = 5(4x + -1) + -55

Reorder the terms:
20 + 4x = 5(-1 + 4x) + -55
20 + 4x = (-1 * 5 + 4x * 5) + -55
20 + 4x = (-5 + 20x) + -55

Reorder the terms:
20 + 4x = -5 + -55 + 20x

Combine like terms: -5 + -55 = -60
20 + 4x = -60 + 20x

Solving
20 + 4x = -60 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
20 + 4x + -20x = -60 + 20x + -20x

Combine like terms: 4x + -20x = -16x
20 + -16x = -60 + 20x + -20x

Combine like terms: 20x + -20x = 0
20 + -16x = -60 + 0
20 + -16x = -60

Add '-20' to each side of the equation.
20 + -20 + -16x = -60 + -20

Combine like terms: 20 + -20 = 0
0 + -16x = -60 + -20
-16x = -60 + -20

Combine like terms: -60 + -20 = -80
-16x = -80

Divide each side by '-16'.
x = 5

Simplifying
x = 5

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