x+6=5[(x-21)+6]

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Solution for x+6=5[(x-21)+6] equation:


Simplifying
x + 6 = 5[(x + -21) + 6]

Reorder the terms:
6 + x = 5[(x + -21) + 6]

Reorder the terms:
6 + x = 5[(-21 + x) + 6]

Remove parenthesis around (-21 + x)
6 + x = 5[-21 + x + 6]

Reorder the terms:
6 + x = 5[-21 + 6 + x]

Combine like terms: -21 + 6 = -15
6 + x = 5[-15 + x]
6 + x = [-15 * 5 + x * 5]
6 + x = [-75 + 5x]

Solving
6 + x = -75 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + x + -5x = -75 + 5x + -5x

Combine like terms: x + -5x = -4x
6 + -4x = -75 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -4x = -75 + 0
6 + -4x = -75

Add '-6' to each side of the equation.
6 + -6 + -4x = -75 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -75 + -6
-4x = -75 + -6

Combine like terms: -75 + -6 = -81
-4x = -81

Divide each side by '-4'.
x = 20.25

Simplifying
x = 20.25

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