2x-7x[8-6(x+9)]=x

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Solution for 2x-7x[8-6(x+9)]=x equation: 


Simplifying
2x + -7x[8 + -6(x + 9)] = x

Reorder the terms:
2x + -7x[8 + -6(9 + x)] = x
2x + -7x[8 + (9 * -6 + x * -6)] = x
2x + -7x[8 + (-54 + -6x)] = x

Combine like terms: 8 + -54 = -46
2x + -7x[-46 + -6x] = x
2x + [-46 * -7x + -6x * -7x] = x
2x + [322x + 42x2] = x

Combine like terms: 2x + 322x = 324x
324x + 42x2 = x

Solving
324x + 42x2 = x

Solving for variable 'x'.

Reorder the terms:
324x + -1x + 42x2 = x + -1x

Combine like terms: 324x + -1x = 323x
323x + 42x2 = x + -1x

Combine like terms: x + -1x = 0
323x + 42x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(323 + 42x) = 0


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 '(323 + 42x)' equal to zero and attempt to solve:

Simplifying
323 + 42x = 0

Solving
323 + 42x = 0

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

Add '-323' to each side of the equation.
323 + -323 + 42x = 0 + -323

Combine like terms: 323 + -323 = 0
0 + 42x = 0 + -323
42x = 0 + -323

Combine like terms: 0 + -323 = -323
42x = -323

Divide each side by '42'.
x = -7.69047619

Simplifying
x = -7.69047619
Solution
x = {0, -7.69047619}

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