x(7x-9)=(7x+6)(x-2)

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Solution for x(7x-9)=(7x+6)(x-2) equation:


Simplifying
x(7x + -9) = (7x + 6)(x + -2)

Reorder the terms:
x(-9 + 7x) = (7x + 6)(x + -2)
(-9 * x + 7x * x) = (7x + 6)(x + -2)
(-9x + 7x2) = (7x + 6)(x + -2)

Reorder the terms:
-9x + 7x2 = (6 + 7x)(x + -2)

Reorder the terms:
-9x + 7x2 = (6 + 7x)(-2 + x)

Multiply (6 + 7x) * (-2 + x)
-9x + 7x2 = (6(-2 + x) + 7x * (-2 + x))
-9x + 7x2 = ((-2 * 6 + x * 6) + 7x * (-2 + x))
-9x + 7x2 = ((-12 + 6x) + 7x * (-2 + x))
-9x + 7x2 = (-12 + 6x + (-2 * 7x + x * 7x))
-9x + 7x2 = (-12 + 6x + (-14x + 7x2))

Combine like terms: 6x + -14x = -8x
-9x + 7x2 = (-12 + -8x + 7x2)

Add '-7x2' to each side of the equation.
-9x + 7x2 + -7x2 = -12 + -8x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-9x + 0 = -12 + -8x + 7x2 + -7x2
-9x = -12 + -8x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-9x = -12 + -8x + 0
-9x = -12 + -8x

Solving
-9x = -12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-9x + 8x = -12 + -8x + 8x

Combine like terms: -9x + 8x = -1x
-1x = -12 + -8x + 8x

Combine like terms: -8x + 8x = 0
-1x = -12 + 0
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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