49+3(2x^3-4x^2-3x)=6(x^3-2x^2+x)-116

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Solution for 49+3(2x^3-4x^2-3x)=6(x^3-2x^2+x)-116 equation: 


Simplifying
49 + 3(2x3 + -4x2 + -3x) = 6(x3 + -2x2 + x) + -116

Reorder the terms:
49 + 3(-3x + -4x2 + 2x3) = 6(x3 + -2x2 + x) + -116
49 + (-3x * 3 + -4x2 * 3 + 2x3 * 3) = 6(x3 + -2x2 + x) + -116
49 + (-9x + -12x2 + 6x3) = 6(x3 + -2x2 + x) + -116

Reorder the terms:
49 + -9x + -12x2 + 6x3 = 6(x + -2x2 + x3) + -116
49 + -9x + -12x2 + 6x3 = (x * 6 + -2x2 * 6 + x3 * 6) + -116
49 + -9x + -12x2 + 6x3 = (6x + -12x2 + 6x3) + -116

Reorder the terms:
49 + -9x + -12x2 + 6x3 = -116 + 6x + -12x2 + 6x3

Add '12x2' to each side of the equation.
49 + -9x + -12x2 + 12x2 + 6x3 = -116 + 6x + -12x2 + 12x2 + 6x3

Combine like terms: -12x2 + 12x2 = 0
49 + -9x + 0 + 6x3 = -116 + 6x + -12x2 + 12x2 + 6x3
49 + -9x + 6x3 = -116 + 6x + -12x2 + 12x2 + 6x3

Combine like terms: -12x2 + 12x2 = 0
49 + -9x + 6x3 = -116 + 6x + 0 + 6x3
49 + -9x + 6x3 = -116 + 6x + 6x3

Add '-6x3' to each side of the equation.
49 + -9x + 6x3 + -6x3 = -116 + 6x + 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
49 + -9x + 0 = -116 + 6x + 6x3 + -6x3
49 + -9x = -116 + 6x + 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
49 + -9x = -116 + 6x + 0
49 + -9x = -116 + 6x

Solving
49 + -9x = -116 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
49 + -9x + -6x = -116 + 6x + -6x

Combine like terms: -9x + -6x = -15x
49 + -15x = -116 + 6x + -6x

Combine like terms: 6x + -6x = 0
49 + -15x = -116 + 0
49 + -15x = -116

Add '-49' to each side of the equation.
49 + -49 + -15x = -116 + -49

Combine like terms: 49 + -49 = 0
0 + -15x = -116 + -49
-15x = -116 + -49

Combine like terms: -116 + -49 = -165
-15x = -165

Divide each side by '-15'.
x = 11

Simplifying
x = 11

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