(21+6x)*6=(3-2x)*4+(4x+5)*5

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Solution for (21+6x)*6=(3-2x)*4+(4x+5)*5 equation:


Simplifying
(21 + 6x) * 6 = (3 + -2x) * 4 + (4x + 5) * 5

Reorder the terms for easier multiplication:
6(21 + 6x) = (3 + -2x) * 4 + (4x + 5) * 5
(21 * 6 + 6x * 6) = (3 + -2x) * 4 + (4x + 5) * 5
(126 + 36x) = (3 + -2x) * 4 + (4x + 5) * 5

Reorder the terms for easier multiplication:
126 + 36x = 4(3 + -2x) + (4x + 5) * 5
126 + 36x = (3 * 4 + -2x * 4) + (4x + 5) * 5
126 + 36x = (12 + -8x) + (4x + 5) * 5

Reorder the terms:
126 + 36x = 12 + -8x + (5 + 4x) * 5

Reorder the terms for easier multiplication:
126 + 36x = 12 + -8x + 5(5 + 4x)
126 + 36x = 12 + -8x + (5 * 5 + 4x * 5)
126 + 36x = 12 + -8x + (25 + 20x)

Reorder the terms:
126 + 36x = 12 + 25 + -8x + 20x

Combine like terms: 12 + 25 = 37
126 + 36x = 37 + -8x + 20x

Combine like terms: -8x + 20x = 12x
126 + 36x = 37 + 12x

Solving
126 + 36x = 37 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
126 + 36x + -12x = 37 + 12x + -12x

Combine like terms: 36x + -12x = 24x
126 + 24x = 37 + 12x + -12x

Combine like terms: 12x + -12x = 0
126 + 24x = 37 + 0
126 + 24x = 37

Add '-126' to each side of the equation.
126 + -126 + 24x = 37 + -126

Combine like terms: 126 + -126 = 0
0 + 24x = 37 + -126
24x = 37 + -126

Combine like terms: 37 + -126 = -89
24x = -89

Divide each side by '24'.
x = -3.708333333

Simplifying
x = -3.708333333

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