2(x^3-5x^2+11x)-45=2x^3-5(2x^2+4x)+165

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Solution for 2(x^3-5x^2+11x)-45=2x^3-5(2x^2+4x)+165 equation: 


Simplifying
2(x3 + -5x2 + 11x) + -45 = 2x3 + -5(2x2 + 4x) + 165

Reorder the terms:
2(11x + -5x2 + x3) + -45 = 2x3 + -5(2x2 + 4x) + 165
(11x * 2 + -5x2 * 2 + x3 * 2) + -45 = 2x3 + -5(2x2 + 4x) + 165
(22x + -10x2 + 2x3) + -45 = 2x3 + -5(2x2 + 4x) + 165

Reorder the terms:
-45 + 22x + -10x2 + 2x3 = 2x3 + -5(2x2 + 4x) + 165

Reorder the terms:
-45 + 22x + -10x2 + 2x3 = 2x3 + -5(4x + 2x2) + 165
-45 + 22x + -10x2 + 2x3 = 2x3 + (4x * -5 + 2x2 * -5) + 165
-45 + 22x + -10x2 + 2x3 = 2x3 + (-20x + -10x2) + 165

Reorder the terms:
-45 + 22x + -10x2 + 2x3 = 165 + -20x + -10x2 + 2x3

Add '10x2' to each side of the equation.
-45 + 22x + -10x2 + 10x2 + 2x3 = 165 + -20x + -10x2 + 10x2 + 2x3

Combine like terms: -10x2 + 10x2 = 0
-45 + 22x + 0 + 2x3 = 165 + -20x + -10x2 + 10x2 + 2x3
-45 + 22x + 2x3 = 165 + -20x + -10x2 + 10x2 + 2x3

Combine like terms: -10x2 + 10x2 = 0
-45 + 22x + 2x3 = 165 + -20x + 0 + 2x3
-45 + 22x + 2x3 = 165 + -20x + 2x3

Add '-2x3' to each side of the equation.
-45 + 22x + 2x3 + -2x3 = 165 + -20x + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-45 + 22x + 0 = 165 + -20x + 2x3 + -2x3
-45 + 22x = 165 + -20x + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-45 + 22x = 165 + -20x + 0
-45 + 22x = 165 + -20x

Solving
-45 + 22x = 165 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-45 + 22x + 20x = 165 + -20x + 20x

Combine like terms: 22x + 20x = 42x
-45 + 42x = 165 + -20x + 20x

Combine like terms: -20x + 20x = 0
-45 + 42x = 165 + 0
-45 + 42x = 165

Add '45' to each side of the equation.
-45 + 45 + 42x = 165 + 45

Combine like terms: -45 + 45 = 0
0 + 42x = 165 + 45
42x = 165 + 45

Combine like terms: 165 + 45 = 210
42x = 210

Divide each side by '42'.
x = 5

Simplifying
x = 5

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