20-10(3x-5)+12=8(x+91)

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Solution for 20-10(3x-5)+12=8(x+91) equation:


Simplifying
20 + -10(3x + -5) + 12 = 8(x + 91)

Reorder the terms:
20 + -10(-5 + 3x) + 12 = 8(x + 91)
20 + (-5 * -10 + 3x * -10) + 12 = 8(x + 91)
20 + (50 + -30x) + 12 = 8(x + 91)

Reorder the terms:
20 + 50 + 12 + -30x = 8(x + 91)

Combine like terms: 20 + 50 = 70
70 + 12 + -30x = 8(x + 91)

Combine like terms: 70 + 12 = 82
82 + -30x = 8(x + 91)

Reorder the terms:
82 + -30x = 8(91 + x)
82 + -30x = (91 * 8 + x * 8)
82 + -30x = (728 + 8x)

Solving
82 + -30x = 728 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
82 + -30x + -8x = 728 + 8x + -8x

Combine like terms: -30x + -8x = -38x
82 + -38x = 728 + 8x + -8x

Combine like terms: 8x + -8x = 0
82 + -38x = 728 + 0
82 + -38x = 728

Add '-82' to each side of the equation.
82 + -82 + -38x = 728 + -82

Combine like terms: 82 + -82 = 0
0 + -38x = 728 + -82
-38x = 728 + -82

Combine like terms: 728 + -82 = 646
-38x = 646

Divide each side by '-38'.
x = -17

Simplifying
x = -17

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