12+(x-4)-21=5[5-4(4-x)]

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Solution for 12+(x-4)-21=5[5-4(4-x)] equation:


Simplifying
12 + (x + -4) + -21 = 5[5 + -4(4 + -1x)]

Reorder the terms:
12 + (-4 + x) + -21 = 5[5 + -4(4 + -1x)]

Remove parenthesis around (-4 + x)
12 + -4 + x + -21 = 5[5 + -4(4 + -1x)]

Reorder the terms:
12 + -4 + -21 + x = 5[5 + -4(4 + -1x)]

Combine like terms: 12 + -4 = 8
8 + -21 + x = 5[5 + -4(4 + -1x)]

Combine like terms: 8 + -21 = -13
-13 + x = 5[5 + -4(4 + -1x)]
-13 + x = 5[5 + (4 * -4 + -1x * -4)]
-13 + x = 5[5 + (-16 + 4x)]

Combine like terms: 5 + -16 = -11
-13 + x = 5[-11 + 4x]
-13 + x = [-11 * 5 + 4x * 5]
-13 + x = [-55 + 20x]

Solving
-13 + x = -55 + 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.
-13 + x + -20x = -55 + 20x + -20x

Combine like terms: x + -20x = -19x
-13 + -19x = -55 + 20x + -20x

Combine like terms: 20x + -20x = 0
-13 + -19x = -55 + 0
-13 + -19x = -55

Add '13' to each side of the equation.
-13 + 13 + -19x = -55 + 13

Combine like terms: -13 + 13 = 0
0 + -19x = -55 + 13
-19x = -55 + 13

Combine like terms: -55 + 13 = -42
-19x = -42

Divide each side by '-19'.
x = 2.210526316

Simplifying
x = 2.210526316

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