5(x^2-3x)=9-x^2+2x(3x-7)

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Solution for 5(x^2-3x)=9-x^2+2x(3x-7) equation:


Simplifying
5(x2 + -3x) = 9 + -1x2 + 2x(3x + -7)

Reorder the terms:
5(-3x + x2) = 9 + -1x2 + 2x(3x + -7)
(-3x * 5 + x2 * 5) = 9 + -1x2 + 2x(3x + -7)
(-15x + 5x2) = 9 + -1x2 + 2x(3x + -7)

Reorder the terms:
-15x + 5x2 = 9 + -1x2 + 2x(-7 + 3x)
-15x + 5x2 = 9 + -1x2 + (-7 * 2x + 3x * 2x)
-15x + 5x2 = 9 + -1x2 + (-14x + 6x2)

Reorder the terms:
-15x + 5x2 = 9 + -14x + -1x2 + 6x2

Combine like terms: -1x2 + 6x2 = 5x2
-15x + 5x2 = 9 + -14x + 5x2

Add '-5x2' to each side of the equation.
-15x + 5x2 + -5x2 = 9 + -14x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-15x + 0 = 9 + -14x + 5x2 + -5x2
-15x = 9 + -14x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-15x = 9 + -14x + 0
-15x = 9 + -14x

Solving
-15x = 9 + -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.
-15x + 14x = 9 + -14x + 14x

Combine like terms: -15x + 14x = -1x
-1x = 9 + -14x + 14x

Combine like terms: -14x + 14x = 0
-1x = 9 + 0
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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