5(4+x)=5(4x-1)-20

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Solution for 5(4+x)=5(4x-1)-20 equation:


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

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

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

Combine like terms: -5 + -20 = -25
20 + 5x = -25 + 20x

Solving
20 + 5x = -25 + 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 + 5x + -20x = -25 + 20x + -20x

Combine like terms: 5x + -20x = -15x
20 + -15x = -25 + 20x + -20x

Combine like terms: 20x + -20x = 0
20 + -15x = -25 + 0
20 + -15x = -25

Add '-20' to each side of the equation.
20 + -20 + -15x = -25 + -20

Combine like terms: 20 + -20 = 0
0 + -15x = -25 + -20
-15x = -25 + -20

Combine like terms: -25 + -20 = -45
-15x = -45

Divide each side by '-15'.
x = 3

Simplifying
x = 3

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