7x-5x[8-3(x+9)]=

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Solution for 7x-5x[8-3(x+9)]= equation: 


Simplifying
7x + -5x[8 + -3(x + 9)] = 0

Reorder the terms:
7x + -5x[8 + -3(9 + x)] = 0
7x + -5x[8 + (9 * -3 + x * -3)] = 0
7x + -5x[8 + (-27 + -3x)] = 0

Combine like terms: 8 + -27 = -19
7x + -5x[-19 + -3x] = 0
7x + [-19 * -5x + -3x * -5x] = 0
7x + [95x + 15x2] = 0

Combine like terms: 7x + 95x = 102x
102x + 15x2 = 0

Solving
102x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(34 + 5x) = 0

Ignore the factor 3.

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 '(34 + 5x)' equal to zero and attempt to solve:

Simplifying
34 + 5x = 0

Solving
34 + 5x = 0

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

Add '-34' to each side of the equation.
34 + -34 + 5x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 5x = 0 + -34
5x = 0 + -34

Combine like terms: 0 + -34 = -34
5x = -34

Divide each side by '5'.
x = -6.8

Simplifying
x = -6.8
Solution
x = {0, -6.8}

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