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

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


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

Reorder the terms:
X + -3(-2 + x) = 7x(2x + 5)
X + (-2 * -3 + x * -3) = 7x(2x + 5)
X + (6 + -3x) = 7x(2x + 5)

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

Reorder the terms:
6 + X + -3x = 7x(5 + 2x)
6 + X + -3x = (5 * 7x + 2x * 7x)
6 + X + -3x = (35x + 14x2)

Solving
6 + X + -3x = 35x + 14x2

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + X + -6 + -3x = 35x + -6 + 14x2

Reorder the terms:
6 + -6 + X + -3x = 35x + -6 + 14x2

Combine like terms: 6 + -6 = 0
0 + X + -3x = 35x + -6 + 14x2
X + -3x = 35x + -6 + 14x2

Reorder the terms:
X + -3x = -6 + 35x + 14x2

Add '3x' to each side of the equation.
X + -3x + 3x = -6 + 35x + 3x + 14x2

Combine like terms: -3x + 3x = 0
X + 0 = -6 + 35x + 3x + 14x2
X = -6 + 35x + 3x + 14x2

Combine like terms: 35x + 3x = 38x
X = -6 + 38x + 14x2

Simplifying
X = -6 + 38x + 14x2

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