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

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


Simplifying
3(x + -2)(x + 5) = 3(x + 1)(x + -1) + 3

Reorder the terms:
3(-2 + x)(x + 5) = 3(x + 1)(x + -1) + 3

Reorder the terms:
3(-2 + x)(5 + x) = 3(x + 1)(x + -1) + 3

Multiply (-2 + x) * (5 + x)
3(-2(5 + x) + x(5 + x)) = 3(x + 1)(x + -1) + 3
3((5 * -2 + x * -2) + x(5 + x)) = 3(x + 1)(x + -1) + 3
3((-10 + -2x) + x(5 + x)) = 3(x + 1)(x + -1) + 3
3(-10 + -2x + (5 * x + x * x)) = 3(x + 1)(x + -1) + 3
3(-10 + -2x + (5x + x2)) = 3(x + 1)(x + -1) + 3

Combine like terms: -2x + 5x = 3x
3(-10 + 3x + x2) = 3(x + 1)(x + -1) + 3
(-10 * 3 + 3x * 3 + x2 * 3) = 3(x + 1)(x + -1) + 3
(-30 + 9x + 3x2) = 3(x + 1)(x + -1) + 3

Reorder the terms:
-30 + 9x + 3x2 = 3(1 + x)(x + -1) + 3

Reorder the terms:
-30 + 9x + 3x2 = 3(1 + x)(-1 + x) + 3

Multiply (1 + x) * (-1 + x)
-30 + 9x + 3x2 = 3(1(-1 + x) + x(-1 + x)) + 3
-30 + 9x + 3x2 = 3((-1 * 1 + x * 1) + x(-1 + x)) + 3
-30 + 9x + 3x2 = 3((-1 + 1x) + x(-1 + x)) + 3
-30 + 9x + 3x2 = 3(-1 + 1x + (-1 * x + x * x)) + 3
-30 + 9x + 3x2 = 3(-1 + 1x + (-1x + x2)) + 3

Combine like terms: 1x + -1x = 0
-30 + 9x + 3x2 = 3(-1 + 0 + x2) + 3
-30 + 9x + 3x2 = 3(-1 + x2) + 3
-30 + 9x + 3x2 = (-1 * 3 + x2 * 3) + 3
-30 + 9x + 3x2 = (-3 + 3x2) + 3

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

Combine like terms: -3 + 3 = 0
-30 + 9x + 3x2 = 0 + 3x2
-30 + 9x + 3x2 = 3x2

Add '-3x2' to each side of the equation.
-30 + 9x + 3x2 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-30 + 9x + 0 = 3x2 + -3x2
-30 + 9x = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-30 + 9x = 0

Solving
-30 + 9x = 0

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 9x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 9x = 0 + 30
9x = 0 + 30

Combine like terms: 0 + 30 = 30
9x = 30

Divide each side by '9'.
x = 3.333333333

Simplifying
x = 3.333333333

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