2x-(x-(3x(8x+5)))=2x-1

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Solution for 2x-(x-(3x(8x+5)))=2x-1 equation: 


Simplifying
2x + -1(x + -1(3x(8x + 5))) = 2x + -1

Reorder the terms:
2x + -1(x + -1(3x(5 + 8x))) = 2x + -1
2x + -1(x + -1((5 * 3x + 8x * 3x))) = 2x + -1
2x + -1(x + -1((15x + 24x2))) = 2x + -1
2x + -1(x + (15x * -1 + 24x2 * -1)) = 2x + -1
2x + -1(x + (-15x + -24x2)) = 2x + -1

Combine like terms: x + -15x = -14x
2x + -1(-14x + -24x2) = 2x + -1
2x + (-14x * -1 + -24x2 * -1) = 2x + -1
2x + (14x + 24x2) = 2x + -1

Combine like terms: 2x + 14x = 16x
16x + 24x2 = 2x + -1

Reorder the terms:
16x + 24x2 = -1 + 2x

Solving
16x + 24x2 = -1 + 2x

Solving for variable 'x'.

Reorder the terms:
1 + 16x + -2x + 24x2 = -1 + 2x + 1 + -2x

Combine like terms: 16x + -2x = 14x
1 + 14x + 24x2 = -1 + 2x + 1 + -2x

Reorder the terms:
1 + 14x + 24x2 = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
1 + 14x + 24x2 = 0 + 2x + -2x
1 + 14x + 24x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 14x + 24x2 = 0

Factor a trinomial.
(1 + 2x)(1 + 12x) = 0


Subproblem 1
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(1 + 12x)' equal to zero and attempt to solve:

Simplifying
1 + 12x = 0

Solving
1 + 12x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 12x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 12x = 0 + -1
12x = 0 + -1

Combine like terms: 0 + -1 = -1
12x = -1

Divide each side by '12'.
x = -0.08333333333

Simplifying
x = -0.08333333333
Solution
x = {-0.5, -0.08333333333}

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