2x-x(3x+1)=15-3x(x+2)

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Solution for 2x-x(3x+1)=15-3x(x+2) equation:


Simplifying
2x + -1x(3x + 1) = 15 + -3x(x + 2)

Reorder the terms:
2x + -1x(1 + 3x) = 15 + -3x(x + 2)
2x + (1 * -1x + 3x * -1x) = 15 + -3x(x + 2)
2x + (-1x + -3x2) = 15 + -3x(x + 2)

Combine like terms: 2x + -1x = 1x
1x + -3x2 = 15 + -3x(x + 2)

Reorder the terms:
1x + -3x2 = 15 + -3x(2 + x)
1x + -3x2 = 15 + (2 * -3x + x * -3x)
1x + -3x2 = 15 + (-6x + -3x2)

Add '3x2' to each side of the equation.
1x + -3x2 + 3x2 = 15 + -6x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
1x + 0 = 15 + -6x + -3x2 + 3x2
1x = 15 + -6x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
1x = 15 + -6x + 0
1x = 15 + -6x

Solving
1x = 15 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1x + 6x = 15 + -6x + 6x

Combine like terms: 1x + 6x = 7x
7x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
7x = 15 + 0
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143

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