11-(x+7)=3x(-5x-6)

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Solution for 11-(x+7)=3x(-5x-6) equation: 


Simplifying
11 + -1(x + 7) = 3x(-5x + -6)

Reorder the terms:
11 + -1(7 + x) = 3x(-5x + -6)
11 + (7 * -1 + x * -1) = 3x(-5x + -6)
11 + (-7 + -1x) = 3x(-5x + -6)

Combine like terms: 11 + -7 = 4
4 + -1x = 3x(-5x + -6)

Reorder the terms:
4 + -1x = 3x(-6 + -5x)
4 + -1x = (-6 * 3x + -5x * 3x)
4 + -1x = (-18x + -15x2)

Solving
4 + -1x = -18x + -15x2

Solving for variable 'x'.

Combine like terms: -1x + 18x = 17x
4 + 17x + 15x2 = -18x + -15x2 + 18x + 15x2

Reorder the terms:
4 + 17x + 15x2 = -18x + 18x + -15x2 + 15x2

Combine like terms: -18x + 18x = 0
4 + 17x + 15x2 = 0 + -15x2 + 15x2
4 + 17x + 15x2 = -15x2 + 15x2

Combine like terms: -15x2 + 15x2 = 0
4 + 17x + 15x2 = 0

Factor a trinomial.
(4 + 5x)(1 + 3x) = 0


Subproblem 1
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-0.8, -0.3333333333}

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