6x(2x+3)-2(x+1)=3x(4x+5)-8

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Solution for 6x(2x+3)-2(x+1)=3x(4x+5)-8 equation: 


Simplifying
6x(2x + 3) + -2(x + 1) = 3x(4x + 5) + -8

Reorder the terms:
6x(3 + 2x) + -2(x + 1) = 3x(4x + 5) + -8
(3 * 6x + 2x * 6x) + -2(x + 1) = 3x(4x + 5) + -8
(18x + 12x2) + -2(x + 1) = 3x(4x + 5) + -8

Reorder the terms:
18x + 12x2 + -2(1 + x) = 3x(4x + 5) + -8
18x + 12x2 + (1 * -2 + x * -2) = 3x(4x + 5) + -8
18x + 12x2 + (-2 + -2x) = 3x(4x + 5) + -8

Reorder the terms:
-2 + 18x + -2x + 12x2 = 3x(4x + 5) + -8

Combine like terms: 18x + -2x = 16x
-2 + 16x + 12x2 = 3x(4x + 5) + -8

Reorder the terms:
-2 + 16x + 12x2 = 3x(5 + 4x) + -8
-2 + 16x + 12x2 = (5 * 3x + 4x * 3x) + -8
-2 + 16x + 12x2 = (15x + 12x2) + -8

Reorder the terms:
-2 + 16x + 12x2 = -8 + 15x + 12x2

Add '-12x2' to each side of the equation.
-2 + 16x + 12x2 + -12x2 = -8 + 15x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-2 + 16x + 0 = -8 + 15x + 12x2 + -12x2
-2 + 16x = -8 + 15x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-2 + 16x = -8 + 15x + 0
-2 + 16x = -8 + 15x

Solving
-2 + 16x = -8 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-2 + 16x + -15x = -8 + 15x + -15x

Combine like terms: 16x + -15x = 1x
-2 + 1x = -8 + 15x + -15x

Combine like terms: 15x + -15x = 0
-2 + 1x = -8 + 0
-2 + 1x = -8

Add '2' to each side of the equation.
-2 + 2 + 1x = -8 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -8 + 2
1x = -8 + 2

Combine like terms: -8 + 2 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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