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

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


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

Reorder the terms:
5x(2 + x) + -3x = (5x + 1)(x + -3) + 6
(2 * 5x + x * 5x) + -3x = (5x + 1)(x + -3) + 6
(10x + 5x2) + -3x = (5x + 1)(x + -3) + 6

Reorder the terms:
10x + -3x + 5x2 = (5x + 1)(x + -3) + 6

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

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

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

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

Combine like terms: 1x + -15x = -14x
7x + 5x2 = (-3 + -14x + 5x2) + 6

Reorder the terms:
7x + 5x2 = -3 + 6 + -14x + 5x2

Combine like terms: -3 + 6 = 3
7x + 5x2 = 3 + -14x + 5x2

Add '-5x2' to each side of the equation.
7x + 5x2 + -5x2 = 3 + -14x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
7x + 0 = 3 + -14x + 5x2 + -5x2
7x = 3 + -14x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
7x = 3 + -14x + 0
7x = 3 + -14x

Solving
7x = 3 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
7x + 14x = 3 + -14x + 14x

Combine like terms: 7x + 14x = 21x
21x = 3 + -14x + 14x

Combine like terms: -14x + 14x = 0
21x = 3 + 0
21x = 3

Divide each side by '21'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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