2x(x-5)=16-x(13-2x)

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Solution for 2x(x-5)=16-x(13-2x) equation: 


Simplifying
2x(x + -5) = 16 + -1x(13 + -2x)

Reorder the terms:
2x(-5 + x) = 16 + -1x(13 + -2x)
(-5 * 2x + x * 2x) = 16 + -1x(13 + -2x)
(-10x + 2x2) = 16 + -1x(13 + -2x)
-10x + 2x2 = 16 + (13 * -1x + -2x * -1x)
-10x + 2x2 = 16 + (-13x + 2x2)

Add '-2x2' to each side of the equation.
-10x + 2x2 + -2x2 = 16 + -13x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-10x + 0 = 16 + -13x + 2x2 + -2x2
-10x = 16 + -13x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-10x = 16 + -13x + 0
-10x = 16 + -13x

Solving
-10x = 16 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
-10x + 13x = 16 + -13x + 13x

Combine like terms: -10x + 13x = 3x
3x = 16 + -13x + 13x

Combine like terms: -13x + 13x = 0
3x = 16 + 0
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333

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