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

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


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

Reorder the terms:
3x(-2 + x) + 5 = 3 + x(2 + 3x)
(-2 * 3x + x * 3x) + 5 = 3 + x(2 + 3x)
(-6x + 3x2) + 5 = 3 + x(2 + 3x)

Reorder the terms:
5 + -6x + 3x2 = 3 + x(2 + 3x)
5 + -6x + 3x2 = 3 + (2 * x + 3x * x)
5 + -6x + 3x2 = 3 + (2x + 3x2)

Add '-3x2' to each side of the equation.
5 + -6x + 3x2 + -3x2 = 3 + 2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5 + -6x + 0 = 3 + 2x + 3x2 + -3x2
5 + -6x = 3 + 2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5 + -6x = 3 + 2x + 0
5 + -6x = 3 + 2x

Solving
5 + -6x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + -6x + -2x = 3 + 2x + -2x

Combine like terms: -6x + -2x = -8x
5 + -8x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -8x = 3 + 0
5 + -8x = 3

Add '-5' to each side of the equation.
5 + -5 + -8x = 3 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 3 + -5
-8x = 3 + -5

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

Divide each side by '-8'.
x = 0.25

Simplifying
x = 0.25

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