3(1-3x^2)=(1+3x)*(1-3x)-2*(x-5)

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Solution for 3(1-3x^2)=(1+3x)*(1-3x)-2*(x-5) equation: 


Simplifying
3(1 + -3x2) = (1 + 3x)(1 + -3x) + -2(x + -5)
(1 * 3 + -3x2 * 3) = (1 + 3x)(1 + -3x) + -2(x + -5)
(3 + -9x2) = (1 + 3x)(1 + -3x) + -2(x + -5)

Multiply (1 + 3x) * (1 + -3x)
3 + -9x2 = (1(1 + -3x) + 3x * (1 + -3x)) + -2(x + -5)
3 + -9x2 = ((1 * 1 + -3x * 1) + 3x * (1 + -3x)) + -2(x + -5)
3 + -9x2 = ((1 + -3x) + 3x * (1 + -3x)) + -2(x + -5)
3 + -9x2 = (1 + -3x + (1 * 3x + -3x * 3x)) + -2(x + -5)
3 + -9x2 = (1 + -3x + (3x + -9x2)) + -2(x + -5)

Combine like terms: -3x + 3x = 0
3 + -9x2 = (1 + 0 + -9x2) + -2(x + -5)
3 + -9x2 = (1 + -9x2) + -2(x + -5)

Reorder the terms:
3 + -9x2 = 1 + -9x2 + -2(-5 + x)
3 + -9x2 = 1 + -9x2 + (-5 * -2 + x * -2)
3 + -9x2 = 1 + -9x2 + (10 + -2x)

Reorder the terms:
3 + -9x2 = 1 + 10 + -2x + -9x2

Combine like terms: 1 + 10 = 11
3 + -9x2 = 11 + -2x + -9x2

Add '9x2' to each side of the equation.
3 + -9x2 + 9x2 = 11 + -2x + -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
3 + 0 = 11 + -2x + -9x2 + 9x2
3 = 11 + -2x + -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
3 = 11 + -2x + 0
3 = 11 + -2x

Solving
3 = 11 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3 + 2x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 2x = 11 + 0
3 + 2x = 11

Add '-3' to each side of the equation.
3 + -3 + 2x = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 11 + -3
2x = 11 + -3

Combine like terms: 11 + -3 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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