5x^2-3x=(5x^2-7x)+(8x-2)

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Solution for 5x^2-3x=(5x^2-7x)+(8x-2) equation:


Simplifying
5x2 + -3x = (5x2 + -7x) + (8x + -2)

Reorder the terms:
-3x + 5x2 = (5x2 + -7x) + (8x + -2)

Reorder the terms:
-3x + 5x2 = (-7x + 5x2) + (8x + -2)

Remove parenthesis around (-7x + 5x2)
-3x + 5x2 = -7x + 5x2 + (8x + -2)

Reorder the terms:
-3x + 5x2 = -7x + 5x2 + (-2 + 8x)

Remove parenthesis around (-2 + 8x)
-3x + 5x2 = -7x + 5x2 + -2 + 8x

Reorder the terms:
-3x + 5x2 = -2 + -7x + 8x + 5x2

Combine like terms: -7x + 8x = 1x
-3x + 5x2 = -2 + 1x + 5x2

Add '-5x2' to each side of the equation.
-3x + 5x2 + -5x2 = -2 + 1x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-3x + 0 = -2 + 1x + 5x2 + -5x2
-3x = -2 + 1x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-3x = -2 + 1x + 0
-3x = -2 + 1x

Solving
-3x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3x + -1x = -2 + 1x + -1x

Combine like terms: -3x + -1x = -4x
-4x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-4x = -2 + 0
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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