9x(x-11)+10(5x-3)=3x(x+5)+x(6x-3)-30

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Solution for 9x(x-11)+10(5x-3)=3x(x+5)+x(6x-3)-30 equation: 


Simplifying
9x(x + -11) + 10(5x + -3) = 3x(x + 5) + x(6x + -3) + -30

Reorder the terms:
9x(-11 + x) + 10(5x + -3) = 3x(x + 5) + x(6x + -3) + -30
(-11 * 9x + x * 9x) + 10(5x + -3) = 3x(x + 5) + x(6x + -3) + -30
(-99x + 9x2) + 10(5x + -3) = 3x(x + 5) + x(6x + -3) + -30

Reorder the terms:
-99x + 9x2 + 10(-3 + 5x) = 3x(x + 5) + x(6x + -3) + -30
-99x + 9x2 + (-3 * 10 + 5x * 10) = 3x(x + 5) + x(6x + -3) + -30
-99x + 9x2 + (-30 + 50x) = 3x(x + 5) + x(6x + -3) + -30

Reorder the terms:
-30 + -99x + 50x + 9x2 = 3x(x + 5) + x(6x + -3) + -30

Combine like terms: -99x + 50x = -49x
-30 + -49x + 9x2 = 3x(x + 5) + x(6x + -3) + -30

Reorder the terms:
-30 + -49x + 9x2 = 3x(5 + x) + x(6x + -3) + -30
-30 + -49x + 9x2 = (5 * 3x + x * 3x) + x(6x + -3) + -30
-30 + -49x + 9x2 = (15x + 3x2) + x(6x + -3) + -30

Reorder the terms:
-30 + -49x + 9x2 = 15x + 3x2 + x(-3 + 6x) + -30
-30 + -49x + 9x2 = 15x + 3x2 + (-3 * x + 6x * x) + -30
-30 + -49x + 9x2 = 15x + 3x2 + (-3x + 6x2) + -30

Reorder the terms:
-30 + -49x + 9x2 = -30 + 15x + -3x + 3x2 + 6x2

Combine like terms: 15x + -3x = 12x
-30 + -49x + 9x2 = -30 + 12x + 3x2 + 6x2

Combine like terms: 3x2 + 6x2 = 9x2
-30 + -49x + 9x2 = -30 + 12x + 9x2

Add '30' to each side of the equation.
-30 + -49x + 30 + 9x2 = -30 + 12x + 30 + 9x2

Reorder the terms:
-30 + 30 + -49x + 9x2 = -30 + 12x + 30 + 9x2

Combine like terms: -30 + 30 = 0
0 + -49x + 9x2 = -30 + 12x + 30 + 9x2
-49x + 9x2 = -30 + 12x + 30 + 9x2

Reorder the terms:
-49x + 9x2 = -30 + 30 + 12x + 9x2

Combine like terms: -30 + 30 = 0
-49x + 9x2 = 0 + 12x + 9x2
-49x + 9x2 = 12x + 9x2

Add '-9x2' to each side of the equation.
-49x + 9x2 + -9x2 = 12x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-49x + 0 = 12x + 9x2 + -9x2
-49x = 12x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-49x = 12x + 0
-49x = 12x

Solving
-49x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-49x + -12x = 12x + -12x

Combine like terms: -49x + -12x = -61x
-61x = 12x + -12x

Combine like terms: 12x + -12x = 0
-61x = 0

Divide each side by '-61'.
x = 0

Simplifying
x = 0

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