3(x+5)(x-1)=(3x+4)(x-2)

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Solution for 3(x+5)(x-1)=(3x+4)(x-2) equation: 


Simplifying
3(x + 5)(x + -1) = (3x + 4)(x + -2)

Reorder the terms:
3(5 + x)(x + -1) = (3x + 4)(x + -2)

Reorder the terms:
3(5 + x)(-1 + x) = (3x + 4)(x + -2)

Multiply (5 + x) * (-1 + x)
3(5(-1 + x) + x(-1 + x)) = (3x + 4)(x + -2)
3((-1 * 5 + x * 5) + x(-1 + x)) = (3x + 4)(x + -2)
3((-5 + 5x) + x(-1 + x)) = (3x + 4)(x + -2)
3(-5 + 5x + (-1 * x + x * x)) = (3x + 4)(x + -2)
3(-5 + 5x + (-1x + x2)) = (3x + 4)(x + -2)

Combine like terms: 5x + -1x = 4x
3(-5 + 4x + x2) = (3x + 4)(x + -2)
(-5 * 3 + 4x * 3 + x2 * 3) = (3x + 4)(x + -2)
(-15 + 12x + 3x2) = (3x + 4)(x + -2)

Reorder the terms:
-15 + 12x + 3x2 = (4 + 3x)(x + -2)

Reorder the terms:
-15 + 12x + 3x2 = (4 + 3x)(-2 + x)

Multiply (4 + 3x) * (-2 + x)
-15 + 12x + 3x2 = (4(-2 + x) + 3x * (-2 + x))
-15 + 12x + 3x2 = ((-2 * 4 + x * 4) + 3x * (-2 + x))
-15 + 12x + 3x2 = ((-8 + 4x) + 3x * (-2 + x))
-15 + 12x + 3x2 = (-8 + 4x + (-2 * 3x + x * 3x))
-15 + 12x + 3x2 = (-8 + 4x + (-6x + 3x2))

Combine like terms: 4x + -6x = -2x
-15 + 12x + 3x2 = (-8 + -2x + 3x2)

Add '-3x2' to each side of the equation.
-15 + 12x + 3x2 + -3x2 = -8 + -2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-15 + 12x + 0 = -8 + -2x + 3x2 + -3x2
-15 + 12x = -8 + -2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-15 + 12x = -8 + -2x + 0
-15 + 12x = -8 + -2x

Solving
-15 + 12x = -8 + -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.
-15 + 12x + 2x = -8 + -2x + 2x

Combine like terms: 12x + 2x = 14x
-15 + 14x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 14x = -8 + 0
-15 + 14x = -8

Add '15' to each side of the equation.
-15 + 15 + 14x = -8 + 15

Combine like terms: -15 + 15 = 0
0 + 14x = -8 + 15
14x = -8 + 15

Combine like terms: -8 + 15 = 7
14x = 7

Divide each side by '14'.
x = 0.5

Simplifying
x = 0.5

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