3x+5-7x=5x^2-4x

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Solution for 3x+5-7x=5x^2-4x equation: 


Simplifying
3x + 5 + -7x = 5x2 + -4x

Reorder the terms:
5 + 3x + -7x = 5x2 + -4x

Combine like terms: 3x + -7x = -4x
5 + -4x = 5x2 + -4x

Reorder the terms:
5 + -4x = -4x + 5x2

Add '4x' to each side of the equation.
5 + -4x + 4x = -4x + 4x + 5x2

Combine like terms: -4x + 4x = 0
5 + 0 = -4x + 4x + 5x2
5 = -4x + 4x + 5x2

Combine like terms: -4x + 4x = 0
5 = 0 + 5x2
5 = 5x2

Solving
5 = 5x2

Solving for variable 'x'.

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

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

Combine like terms: 5x2 + -5x2 = 0
5 + -5x2 = 0

Add '-5' to each side of the equation.
5 + -5 + -5x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -5x2 = 0 + -5
-5x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-5x2 = -5

Divide each side by '-5'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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