3x(5x-1)-5x+1=5x(3x+2)-7(3x+2)

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Solution for 3x(5x-1)-5x+1=5x(3x+2)-7(3x+2) equation:


Simplifying
3x(5x + -1) + -5x + 1 = 5x(3x + 2) + -7(3x + 2)

Reorder the terms:
3x(-1 + 5x) + -5x + 1 = 5x(3x + 2) + -7(3x + 2)
(-1 * 3x + 5x * 3x) + -5x + 1 = 5x(3x + 2) + -7(3x + 2)
(-3x + 15x2) + -5x + 1 = 5x(3x + 2) + -7(3x + 2)

Reorder the terms:
1 + -3x + -5x + 15x2 = 5x(3x + 2) + -7(3x + 2)

Combine like terms: -3x + -5x = -8x
1 + -8x + 15x2 = 5x(3x + 2) + -7(3x + 2)

Reorder the terms:
1 + -8x + 15x2 = 5x(2 + 3x) + -7(3x + 2)
1 + -8x + 15x2 = (2 * 5x + 3x * 5x) + -7(3x + 2)
1 + -8x + 15x2 = (10x + 15x2) + -7(3x + 2)

Reorder the terms:
1 + -8x + 15x2 = 10x + 15x2 + -7(2 + 3x)
1 + -8x + 15x2 = 10x + 15x2 + (2 * -7 + 3x * -7)
1 + -8x + 15x2 = 10x + 15x2 + (-14 + -21x)

Reorder the terms:
1 + -8x + 15x2 = -14 + 10x + -21x + 15x2

Combine like terms: 10x + -21x = -11x
1 + -8x + 15x2 = -14 + -11x + 15x2

Add '-15x2' to each side of the equation.
1 + -8x + 15x2 + -15x2 = -14 + -11x + 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
1 + -8x + 0 = -14 + -11x + 15x2 + -15x2
1 + -8x = -14 + -11x + 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
1 + -8x = -14 + -11x + 0
1 + -8x = -14 + -11x

Solving
1 + -8x = -14 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
1 + -8x + 11x = -14 + -11x + 11x

Combine like terms: -8x + 11x = 3x
1 + 3x = -14 + -11x + 11x

Combine like terms: -11x + 11x = 0
1 + 3x = -14 + 0
1 + 3x = -14

Add '-1' to each side of the equation.
1 + -1 + 3x = -14 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = -14 + -1
3x = -14 + -1

Combine like terms: -14 + -1 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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