2x(x+5)-3(x*x+2x-1)=9-5x-x*x

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Solution for 2x(x+5)-3(x*x+2x-1)=9-5x-x*x equation:


Simplifying
2x(x + 5) + -3(x * x + 2x + -1) = 9 + -5x + -1x * x

Reorder the terms:
2x(5 + x) + -3(x * x + 2x + -1) = 9 + -5x + -1x * x
(5 * 2x + x * 2x) + -3(x * x + 2x + -1) = 9 + -5x + -1x * x
(10x + 2x2) + -3(x * x + 2x + -1) = 9 + -5x + -1x * x

Multiply x * x
10x + 2x2 + -3(x2 + 2x + -1) = 9 + -5x + -1x * x

Reorder the terms:
10x + 2x2 + -3(-1 + 2x + x2) = 9 + -5x + -1x * x
10x + 2x2 + (-1 * -3 + 2x * -3 + x2 * -3) = 9 + -5x + -1x * x
10x + 2x2 + (3 + -6x + -3x2) = 9 + -5x + -1x * x

Reorder the terms:
3 + 10x + -6x + 2x2 + -3x2 = 9 + -5x + -1x * x

Combine like terms: 10x + -6x = 4x
3 + 4x + 2x2 + -3x2 = 9 + -5x + -1x * x

Combine like terms: 2x2 + -3x2 = -1x2
3 + 4x + -1x2 = 9 + -5x + -1x * x

Multiply x * x
3 + 4x + -1x2 = 9 + -5x + -1x2

Add 'x2' to each side of the equation.
3 + 4x + -1x2 + x2 = 9 + -5x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3 + 4x + 0 = 9 + -5x + -1x2 + x2
3 + 4x = 9 + -5x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3 + 4x = 9 + -5x + 0
3 + 4x = 9 + -5x

Solving
3 + 4x = 9 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
3 + 4x + 5x = 9 + -5x + 5x

Combine like terms: 4x + 5x = 9x
3 + 9x = 9 + -5x + 5x

Combine like terms: -5x + 5x = 0
3 + 9x = 9 + 0
3 + 9x = 9

Add '-3' to each side of the equation.
3 + -3 + 9x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = 9 + -3
9x = 9 + -3

Combine like terms: 9 + -3 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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