5x^2-3x=(7x^2)-(2x^2+16)

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Solution for 5x^2-3x=(7x^2)-(2x^2+16) equation:


Simplifying
5x2 + -3x = (7x2) + -1(2x2 + 16)

Reorder the terms:
-3x + 5x2 = (7x2) + -1(2x2 + 16)

Reorder the terms:
-3x + 5x2 = (7x2) + -1(16 + 2x2)
-3x + 5x2 = (7x2) + (16 * -1 + 2x2 * -1)
-3x + 5x2 = (7x2) + (-16 + -2x2)

Reorder the terms:
-3x + 5x2 = -16 + (7x2) + -2x2

Combine like terms: (7x2) + -2x2 = 5x2
-3x + 5x2 = -16 + 5x2

Add '-5x2' to each side of the equation.
-3x + 5x2 + -5x2 = -16 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-3x + 0 = -16 + 5x2 + -5x2
-3x = -16 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-3x = -16 + 0
-3x = -16

Solving
-3x = -16

Solving for variable 'x'.

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

Divide each side by '-3'.
x = 5.333333333

Simplifying
x = 5.333333333

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