2x(9-6x)=(4x-7)(1-3x)

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Solution for 2x(9-6x)=(4x-7)(1-3x) equation:


Simplifying
2x(9 + -6x) = (4x + -7)(1 + -3x)
(9 * 2x + -6x * 2x) = (4x + -7)(1 + -3x)
(18x + -12x2) = (4x + -7)(1 + -3x)

Reorder the terms:
18x + -12x2 = (-7 + 4x)(1 + -3x)

Multiply (-7 + 4x) * (1 + -3x)
18x + -12x2 = (-7(1 + -3x) + 4x * (1 + -3x))
18x + -12x2 = ((1 * -7 + -3x * -7) + 4x * (1 + -3x))
18x + -12x2 = ((-7 + 21x) + 4x * (1 + -3x))
18x + -12x2 = (-7 + 21x + (1 * 4x + -3x * 4x))
18x + -12x2 = (-7 + 21x + (4x + -12x2))

Combine like terms: 21x + 4x = 25x
18x + -12x2 = (-7 + 25x + -12x2)

Add '12x2' to each side of the equation.
18x + -12x2 + 12x2 = -7 + 25x + -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
18x + 0 = -7 + 25x + -12x2 + 12x2
18x = -7 + 25x + -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
18x = -7 + 25x + 0
18x = -7 + 25x

Solving
18x = -7 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
18x + -25x = -7 + 25x + -25x

Combine like terms: 18x + -25x = -7x
-7x = -7 + 25x + -25x

Combine like terms: 25x + -25x = 0
-7x = -7 + 0
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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