5x+(1+2x)(-22+10x)-7=-3+20x^2+4(-3x-2)-15x

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Solution for 5x+(1+2x)(-22+10x)-7=-3+20x^2+4(-3x-2)-15x equation: 


Simplifying
5x + (1 + 2x)(-22 + 10x) + -7 = -3 + 20x2 + 4(-3x + -2) + -15x

Multiply (1 + 2x) * (-22 + 10x)
5x + (1(-22 + 10x) + 2x * (-22 + 10x)) + -7 = -3 + 20x2 + 4(-3x + -2) + -15x
5x + ((-22 * 1 + 10x * 1) + 2x * (-22 + 10x)) + -7 = -3 + 20x2 + 4(-3x + -2) + -15x
5x + ((-22 + 10x) + 2x * (-22 + 10x)) + -7 = -3 + 20x2 + 4(-3x + -2) + -15x
5x + (-22 + 10x + (-22 * 2x + 10x * 2x)) + -7 = -3 + 20x2 + 4(-3x + -2) + -15x
5x + (-22 + 10x + (-44x + 20x2)) + -7 = -3 + 20x2 + 4(-3x + -2) + -15x

Combine like terms: 10x + -44x = -34x
5x + (-22 + -34x + 20x2) + -7 = -3 + 20x2 + 4(-3x + -2) + -15x

Reorder the terms:
-22 + -7 + 5x + -34x + 20x2 = -3 + 20x2 + 4(-3x + -2) + -15x

Combine like terms: -22 + -7 = -29
-29 + 5x + -34x + 20x2 = -3 + 20x2 + 4(-3x + -2) + -15x

Combine like terms: 5x + -34x = -29x
-29 + -29x + 20x2 = -3 + 20x2 + 4(-3x + -2) + -15x

Reorder the terms:
-29 + -29x + 20x2 = -3 + 20x2 + 4(-2 + -3x) + -15x
-29 + -29x + 20x2 = -3 + 20x2 + (-2 * 4 + -3x * 4) + -15x
-29 + -29x + 20x2 = -3 + 20x2 + (-8 + -12x) + -15x

Reorder the terms:
-29 + -29x + 20x2 = -3 + -8 + -12x + -15x + 20x2

Combine like terms: -3 + -8 = -11
-29 + -29x + 20x2 = -11 + -12x + -15x + 20x2

Combine like terms: -12x + -15x = -27x
-29 + -29x + 20x2 = -11 + -27x + 20x2

Add '-20x2' to each side of the equation.
-29 + -29x + 20x2 + -20x2 = -11 + -27x + 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
-29 + -29x + 0 = -11 + -27x + 20x2 + -20x2
-29 + -29x = -11 + -27x + 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
-29 + -29x = -11 + -27x + 0
-29 + -29x = -11 + -27x

Solving
-29 + -29x = -11 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
-29 + -29x + 27x = -11 + -27x + 27x

Combine like terms: -29x + 27x = -2x
-29 + -2x = -11 + -27x + 27x

Combine like terms: -27x + 27x = 0
-29 + -2x = -11 + 0
-29 + -2x = -11

Add '29' to each side of the equation.
-29 + 29 + -2x = -11 + 29

Combine like terms: -29 + 29 = 0
0 + -2x = -11 + 29
-2x = -11 + 29

Combine like terms: -11 + 29 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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