X+4x+3-x(x-5)=3(2x-1)

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Solution for X+4x+3-x(x-5)=3(2x-1) equation:


Simplifying
X + 4x + 3 + -1x(x + -5) = 3(2x + -1)

Reorder the terms:
X + 4x + 3 + -1x(-5 + x) = 3(2x + -1)
X + 4x + 3 + (-5 * -1x + x * -1x) = 3(2x + -1)
X + 4x + 3 + (5x + -1x2) = 3(2x + -1)

Reorder the terms:
3 + X + 4x + 5x + -1x2 = 3(2x + -1)

Combine like terms: 4x + 5x = 9x
3 + X + 9x + -1x2 = 3(2x + -1)

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

Solving
3 + X + 9x + -1x2 = -3 + 6x

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + X + 9x + -3 + -1x2 = -3 + -3 + 6x

Reorder the terms:
3 + -3 + X + 9x + -1x2 = -3 + -3 + 6x

Combine like terms: 3 + -3 = 0
0 + X + 9x + -1x2 = -3 + -3 + 6x
X + 9x + -1x2 = -3 + -3 + 6x

Combine like terms: -3 + -3 = -6
X + 9x + -1x2 = -6 + 6x

Add '-9x' to each side of the equation.
X + 9x + -9x + -1x2 = -6 + 6x + -9x

Combine like terms: 9x + -9x = 0
X + 0 + -1x2 = -6 + 6x + -9x
X + -1x2 = -6 + 6x + -9x

Combine like terms: 6x + -9x = -3x
X + -1x2 = -6 + -3x

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

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

Simplifying
X = -6 + -3x + x2

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