4(5+x)=5(4x-1)-39

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Solution for 4(5+x)=5(4x-1)-39 equation: 


Simplifying
4(5 + x) = 5(4x + -1) + -39
(5 * 4 + x * 4) = 5(4x + -1) + -39
(20 + 4x) = 5(4x + -1) + -39

Reorder the terms:
20 + 4x = 5(-1 + 4x) + -39
20 + 4x = (-1 * 5 + 4x * 5) + -39
20 + 4x = (-5 + 20x) + -39

Reorder the terms:
20 + 4x = -5 + -39 + 20x

Combine like terms: -5 + -39 = -44
20 + 4x = -44 + 20x

Solving
20 + 4x = -44 + 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 = -44 + 20x + -20x

Combine like terms: 4x + -20x = -16x
20 + -16x = -44 + 20x + -20x

Combine like terms: 20x + -20x = 0
20 + -16x = -44 + 0
20 + -16x = -44

Add '-20' to each side of the equation.
20 + -20 + -16x = -44 + -20

Combine like terms: 20 + -20 = 0
0 + -16x = -44 + -20
-16x = -44 + -20

Combine like terms: -44 + -20 = -64
-16x = -64

Divide each side by '-16'.
x = 4

Simplifying
x = 4

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