x=2x-8x(9-4(x+7))

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Solution for x=2x-8x(9-4(x+7)) equation: 


Simplifying
x = 2x + -8x(9 + -4(x + 7))

Reorder the terms:
x = 2x + -8x(9 + -4(7 + x))
x = 2x + -8x(9 + (7 * -4 + x * -4))
x = 2x + -8x(9 + (-28 + -4x))

Combine like terms: 9 + -28 = -19
x = 2x + -8x(-19 + -4x)
x = 2x + (-19 * -8x + -4x * -8x)
x = 2x + (152x + 32x2)

Combine like terms: 2x + 152x = 154x
x = 154x + 32x2

Solving
x = 154x + 32x2

Solving for variable 'x'.

Combine like terms: x + -154x = -153x
-153x + -32x2 = 154x + 32x2 + -154x + -32x2

Reorder the terms:
-153x + -32x2 = 154x + -154x + 32x2 + -32x2

Combine like terms: 154x + -154x = 0
-153x + -32x2 = 0 + 32x2 + -32x2
-153x + -32x2 = 32x2 + -32x2

Combine like terms: 32x2 + -32x2 = 0
-153x + -32x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(153 + 32x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(153 + 32x)' equal to zero and attempt to solve:

Simplifying
153 + 32x = 0

Solving
153 + 32x = 0

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

Add '-153' to each side of the equation.
153 + -153 + 32x = 0 + -153

Combine like terms: 153 + -153 = 0
0 + 32x = 0 + -153
32x = 0 + -153

Combine like terms: 0 + -153 = -153
32x = -153

Divide each side by '32'.
x = -4.78125

Simplifying
x = -4.78125
Solution
x = {0, -4.78125}

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