4x(x-5)+2x(7-2x)=3

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


Simplifying
4x(x + -5) + 2x(7 + -2x) = 3

Reorder the terms:
4x(-5 + x) + 2x(7 + -2x) = 3
(-5 * 4x + x * 4x) + 2x(7 + -2x) = 3
(-20x + 4x2) + 2x(7 + -2x) = 3
-20x + 4x2 + (7 * 2x + -2x * 2x) = 3
-20x + 4x2 + (14x + -4x2) = 3

Reorder the terms:
-20x + 14x + 4x2 + -4x2 = 3

Combine like terms: -20x + 14x = -6x
-6x + 4x2 + -4x2 = 3

Combine like terms: 4x2 + -4x2 = 0
-6x + 0 = 3
-6x = 3

Solving
-6x = 3

Solving for variable 'x'.

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

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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