=12+4[2x-9(10x-5)]-16x-3(x-9)+9(5x-8)

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Solution for =12+4[2x-9(10x-5)]-16x-3(x-9)+9(5x-8) equation: 


Simplifying
0 = 12 + 4[2x + -9(10x + -5)] + -16x + -3(x + -9) + 9(5x + -8)

Reorder the terms:
0 = 12 + 4[2x + -9(-5 + 10x)] + -16x + -3(x + -9) + 9(5x + -8)
0 = 12 + 4[2x + (-5 * -9 + 10x * -9)] + -16x + -3(x + -9) + 9(5x + -8)
0 = 12 + 4[2x + (45 + -90x)] + -16x + -3(x + -9) + 9(5x + -8)

Reorder the terms:
0 = 12 + 4[45 + 2x + -90x] + -16x + -3(x + -9) + 9(5x + -8)

Combine like terms: 2x + -90x = -88x
0 = 12 + 4[45 + -88x] + -16x + -3(x + -9) + 9(5x + -8)
0 = 12 + [45 * 4 + -88x * 4] + -16x + -3(x + -9) + 9(5x + -8)
0 = 12 + [180 + -352x] + -16x + -3(x + -9) + 9(5x + -8)

Reorder the terms:
0 = 12 + 180 + -352x + -16x + -3(-9 + x) + 9(5x + -8)
0 = 12 + 180 + -352x + -16x + (-9 * -3 + x * -3) + 9(5x + -8)
0 = 12 + 180 + -352x + -16x + (27 + -3x) + 9(5x + -8)

Reorder the terms:
0 = 12 + 180 + -352x + -16x + 27 + -3x + 9(-8 + 5x)
0 = 12 + 180 + -352x + -16x + 27 + -3x + (-8 * 9 + 5x * 9)
0 = 12 + 180 + -352x + -16x + 27 + -3x + (-72 + 45x)

Reorder the terms:
0 = 12 + 180 + 27 + -72 + -352x + -16x + -3x + 45x

Combine like terms: 12 + 180 = 192
0 = 192 + 27 + -72 + -352x + -16x + -3x + 45x

Combine like terms: 192 + 27 = 219
0 = 219 + -72 + -352x + -16x + -3x + 45x

Combine like terms: 219 + -72 = 147
0 = 147 + -352x + -16x + -3x + 45x

Combine like terms: -352x + -16x = -368x
0 = 147 + -368x + -3x + 45x

Combine like terms: -368x + -3x = -371x
0 = 147 + -371x + 45x

Combine like terms: -371x + 45x = -326x
0 = 147 + -326x

Solving
0 = 147 + -326x

Solving for variable 'x'.

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

Add '326x' to each side of the equation.
0 + 326x = 147 + -326x + 326x
Remove the zero:
326x = 147 + -326x + 326x

Combine like terms: -326x + 326x = 0
326x = 147 + 0
326x = 147

Divide each side by '326'.
x = 0.4509202454

Simplifying
x = 0.4509202454

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