(3x+8)(x-2)=(x+4)(3x-7)

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Solution for (3x+8)(x-2)=(x+4)(3x-7) equation: 


Simplifying
(3x + 8)(x + -2) = (x + 4)(3x + -7)

Reorder the terms:
(8 + 3x)(x + -2) = (x + 4)(3x + -7)

Reorder the terms:
(8 + 3x)(-2 + x) = (x + 4)(3x + -7)

Multiply (8 + 3x) * (-2 + x)
(8(-2 + x) + 3x * (-2 + x)) = (x + 4)(3x + -7)
((-2 * 8 + x * 8) + 3x * (-2 + x)) = (x + 4)(3x + -7)
((-16 + 8x) + 3x * (-2 + x)) = (x + 4)(3x + -7)
(-16 + 8x + (-2 * 3x + x * 3x)) = (x + 4)(3x + -7)
(-16 + 8x + (-6x + 3x2)) = (x + 4)(3x + -7)

Combine like terms: 8x + -6x = 2x
(-16 + 2x + 3x2) = (x + 4)(3x + -7)

Reorder the terms:
-16 + 2x + 3x2 = (4 + x)(3x + -7)

Reorder the terms:
-16 + 2x + 3x2 = (4 + x)(-7 + 3x)

Multiply (4 + x) * (-7 + 3x)
-16 + 2x + 3x2 = (4(-7 + 3x) + x(-7 + 3x))
-16 + 2x + 3x2 = ((-7 * 4 + 3x * 4) + x(-7 + 3x))
-16 + 2x + 3x2 = ((-28 + 12x) + x(-7 + 3x))
-16 + 2x + 3x2 = (-28 + 12x + (-7 * x + 3x * x))
-16 + 2x + 3x2 = (-28 + 12x + (-7x + 3x2))

Combine like terms: 12x + -7x = 5x
-16 + 2x + 3x2 = (-28 + 5x + 3x2)

Add '-3x2' to each side of the equation.
-16 + 2x + 3x2 + -3x2 = -28 + 5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-16 + 2x + 0 = -28 + 5x + 3x2 + -3x2
-16 + 2x = -28 + 5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-16 + 2x = -28 + 5x + 0
-16 + 2x = -28 + 5x

Solving
-16 + 2x = -28 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 2x + -5x = -28 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-16 + -3x = -28 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -3x = -28 + 0
-16 + -3x = -28

Add '16' to each side of the equation.
-16 + 16 + -3x = -28 + 16

Combine like terms: -16 + 16 = 0
0 + -3x = -28 + 16
-3x = -28 + 16

Combine like terms: -28 + 16 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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