(2x-1)(3x+1)=6x(x-1)+29

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Solution for (2x-1)(3x+1)=6x(x-1)+29 equation: 


Simplifying
(2x + -1)(3x + 1) = 6x(x + -1) + 29

Reorder the terms:
(-1 + 2x)(3x + 1) = 6x(x + -1) + 29

Reorder the terms:
(-1 + 2x)(1 + 3x) = 6x(x + -1) + 29

Multiply (-1 + 2x) * (1 + 3x)
(-1(1 + 3x) + 2x * (1 + 3x)) = 6x(x + -1) + 29
((1 * -1 + 3x * -1) + 2x * (1 + 3x)) = 6x(x + -1) + 29
((-1 + -3x) + 2x * (1 + 3x)) = 6x(x + -1) + 29
(-1 + -3x + (1 * 2x + 3x * 2x)) = 6x(x + -1) + 29
(-1 + -3x + (2x + 6x2)) = 6x(x + -1) + 29

Combine like terms: -3x + 2x = -1x
(-1 + -1x + 6x2) = 6x(x + -1) + 29

Reorder the terms:
-1 + -1x + 6x2 = 6x(-1 + x) + 29
-1 + -1x + 6x2 = (-1 * 6x + x * 6x) + 29
-1 + -1x + 6x2 = (-6x + 6x2) + 29

Reorder the terms:
-1 + -1x + 6x2 = 29 + -6x + 6x2

Add '-6x2' to each side of the equation.
-1 + -1x + 6x2 + -6x2 = 29 + -6x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-1 + -1x + 0 = 29 + -6x + 6x2 + -6x2
-1 + -1x = 29 + -6x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-1 + -1x = 29 + -6x + 0
-1 + -1x = 29 + -6x

Solving
-1 + -1x = 29 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-1 + -1x + 6x = 29 + -6x + 6x

Combine like terms: -1x + 6x = 5x
-1 + 5x = 29 + -6x + 6x

Combine like terms: -6x + 6x = 0
-1 + 5x = 29 + 0
-1 + 5x = 29

Add '1' to each side of the equation.
-1 + 1 + 5x = 29 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 29 + 1
5x = 29 + 1

Combine like terms: 29 + 1 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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