4*(3x-6)-11=-21-2x(7-6x)

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Solution for 4*(3x-6)-11=-21-2x(7-6x) equation: 


Simplifying
4(3x + -6) + -11 = -21 + -2x(7 + -6x)

Reorder the terms:
4(-6 + 3x) + -11 = -21 + -2x(7 + -6x)
(-6 * 4 + 3x * 4) + -11 = -21 + -2x(7 + -6x)
(-24 + 12x) + -11 = -21 + -2x(7 + -6x)

Reorder the terms:
-24 + -11 + 12x = -21 + -2x(7 + -6x)

Combine like terms: -24 + -11 = -35
-35 + 12x = -21 + -2x(7 + -6x)
-35 + 12x = -21 + (7 * -2x + -6x * -2x)
-35 + 12x = -21 + (-14x + 12x2)

Solving
-35 + 12x = -21 + -14x + 12x2

Solving for variable 'x'.

Reorder the terms:
-35 + 21 + 12x + 14x + -12x2 = -21 + -14x + 12x2 + 21 + 14x + -12x2

Combine like terms: -35 + 21 = -14
-14 + 12x + 14x + -12x2 = -21 + -14x + 12x2 + 21 + 14x + -12x2

Combine like terms: 12x + 14x = 26x
-14 + 26x + -12x2 = -21 + -14x + 12x2 + 21 + 14x + -12x2

Reorder the terms:
-14 + 26x + -12x2 = -21 + 21 + -14x + 14x + 12x2 + -12x2

Combine like terms: -21 + 21 = 0
-14 + 26x + -12x2 = 0 + -14x + 14x + 12x2 + -12x2
-14 + 26x + -12x2 = -14x + 14x + 12x2 + -12x2

Combine like terms: -14x + 14x = 0
-14 + 26x + -12x2 = 0 + 12x2 + -12x2
-14 + 26x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-14 + 26x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 13x + -6x2) = 0

Factor a trinomial.
2((-7 + 6x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + 6x)' equal to zero and attempt to solve:

Simplifying
-7 + 6x = 0

Solving
-7 + 6x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 6x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 0 + 7
6x = 0 + 7

Combine like terms: 0 + 7 = 7
6x = 7

Divide each side by '6'.
x = 1.166666667

Simplifying
x = 1.166666667

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {1.166666667, 1}

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