9x+4(5x+2)=4x-83

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Solution for 9x+4(5x+2)=4x-83 equation:


Simplifying
9x + 4(5x + 2) = 4x + -83

Reorder the terms:
9x + 4(2 + 5x) = 4x + -83
9x + (2 * 4 + 5x * 4) = 4x + -83
9x + (8 + 20x) = 4x + -83

Reorder the terms:
8 + 9x + 20x = 4x + -83

Combine like terms: 9x + 20x = 29x
8 + 29x = 4x + -83

Reorder the terms:
8 + 29x = -83 + 4x

Solving
8 + 29x = -83 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 29x + -4x = -83 + 4x + -4x

Combine like terms: 29x + -4x = 25x
8 + 25x = -83 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 25x = -83 + 0
8 + 25x = -83

Add '-8' to each side of the equation.
8 + -8 + 25x = -83 + -8

Combine like terms: 8 + -8 = 0
0 + 25x = -83 + -8
25x = -83 + -8

Combine like terms: -83 + -8 = -91
25x = -91

Divide each side by '25'.
x = -3.64

Simplifying
x = -3.64

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