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

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


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

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

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

Combine like terms: 20 + 4 = 24
24 + 5x = 5x + -1(4 + -1x)
24 + 5x = 5x + (4 * -1 + -1x * -1)
24 + 5x = 5x + (-4 + 1x)

Reorder the terms:
24 + 5x = -4 + 5x + 1x

Combine like terms: 5x + 1x = 6x
24 + 5x = -4 + 6x

Solving
24 + 5x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
24 + 5x + -6x = -4 + 6x + -6x

Combine like terms: 5x + -6x = -1x
24 + -1x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -1x = -4 + 0
24 + -1x = -4

Add '-24' to each side of the equation.
24 + -24 + -1x = -4 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = -4 + -24
-1x = -4 + -24

Combine like terms: -4 + -24 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

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