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

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


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

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

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

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

Combine like terms: 1x + 6x = 7x
(1 + 7x + 6x2) = (3x + -2)(2x + -5)

Reorder the terms:
1 + 7x + 6x2 = (-2 + 3x)(2x + -5)

Reorder the terms:
1 + 7x + 6x2 = (-2 + 3x)(-5 + 2x)

Multiply (-2 + 3x) * (-5 + 2x)
1 + 7x + 6x2 = (-2(-5 + 2x) + 3x * (-5 + 2x))
1 + 7x + 6x2 = ((-5 * -2 + 2x * -2) + 3x * (-5 + 2x))
1 + 7x + 6x2 = ((10 + -4x) + 3x * (-5 + 2x))
1 + 7x + 6x2 = (10 + -4x + (-5 * 3x + 2x * 3x))
1 + 7x + 6x2 = (10 + -4x + (-15x + 6x2))

Combine like terms: -4x + -15x = -19x
1 + 7x + 6x2 = (10 + -19x + 6x2)

Add '-6x2' to each side of the equation.
1 + 7x + 6x2 + -6x2 = 10 + -19x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
1 + 7x + 0 = 10 + -19x + 6x2 + -6x2
1 + 7x = 10 + -19x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
1 + 7x = 10 + -19x + 0
1 + 7x = 10 + -19x

Solving
1 + 7x = 10 + -19x

Solving for variable 'x'.

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

Add '19x' to each side of the equation.
1 + 7x + 19x = 10 + -19x + 19x

Combine like terms: 7x + 19x = 26x
1 + 26x = 10 + -19x + 19x

Combine like terms: -19x + 19x = 0
1 + 26x = 10 + 0
1 + 26x = 10

Add '-1' to each side of the equation.
1 + -1 + 26x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 26x = 10 + -1
26x = 10 + -1

Combine like terms: 10 + -1 = 9
26x = 9

Divide each side by '26'.
x = 0.3461538462

Simplifying
x = 0.3461538462

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