(3x+5)(2x-1)=x(6x+1)-16

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Solution for (3x+5)(2x-1)=x(6x+1)-16 equation: 


Simplifying
(3x + 5)(2x + -1) = x(6x + 1) + -16

Reorder the terms:
(5 + 3x)(2x + -1) = x(6x + 1) + -16

Reorder the terms:
(5 + 3x)(-1 + 2x) = x(6x + 1) + -16

Multiply (5 + 3x) * (-1 + 2x)
(5(-1 + 2x) + 3x * (-1 + 2x)) = x(6x + 1) + -16
((-1 * 5 + 2x * 5) + 3x * (-1 + 2x)) = x(6x + 1) + -16
((-5 + 10x) + 3x * (-1 + 2x)) = x(6x + 1) + -16
(-5 + 10x + (-1 * 3x + 2x * 3x)) = x(6x + 1) + -16
(-5 + 10x + (-3x + 6x2)) = x(6x + 1) + -16

Combine like terms: 10x + -3x = 7x
(-5 + 7x + 6x2) = x(6x + 1) + -16

Reorder the terms:
-5 + 7x + 6x2 = x(1 + 6x) + -16
-5 + 7x + 6x2 = (1 * x + 6x * x) + -16
-5 + 7x + 6x2 = (1x + 6x2) + -16

Reorder the terms:
-5 + 7x + 6x2 = -16 + 1x + 6x2

Add '-6x2' to each side of the equation.
-5 + 7x + 6x2 + -6x2 = -16 + 1x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-5 + 7x + 0 = -16 + 1x + 6x2 + -6x2
-5 + 7x = -16 + 1x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-5 + 7x = -16 + 1x + 0
-5 + 7x = -16 + 1x

Solving
-5 + 7x = -16 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 7x + -1x = -16 + 1x + -1x

Combine like terms: 7x + -1x = 6x
-5 + 6x = -16 + 1x + -1x

Combine like terms: 1x + -1x = 0
-5 + 6x = -16 + 0
-5 + 6x = -16

Add '5' to each side of the equation.
-5 + 5 + 6x = -16 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = -16 + 5
6x = -16 + 5

Combine like terms: -16 + 5 = -11
6x = -11

Divide each side by '6'.
x = -1.833333333

Simplifying
x = -1.833333333

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