X-1x(4x-7)=5x-1(x+21)

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Solution for X-1x(4x-7)=5x-1(x+21) equation: 


Simplifying
X + -1x(4x + -7) = 5x + -1(x + 21)

Reorder the terms:
X + -1x(-7 + 4x) = 5x + -1(x + 21)
X + (-7 * -1x + 4x * -1x) = 5x + -1(x + 21)
X + (7x + -4x2) = 5x + -1(x + 21)

Reorder the terms:
X + 7x + -4x2 = 5x + -1(21 + x)
X + 7x + -4x2 = 5x + (21 * -1 + x * -1)
X + 7x + -4x2 = 5x + (-21 + -1x)

Reorder the terms:
X + 7x + -4x2 = -21 + 5x + -1x

Combine like terms: 5x + -1x = 4x
X + 7x + -4x2 = -21 + 4x

Solving
X + 7x + -4x2 = -21 + 4x

Solving for variable 'X'.

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

Add '-7x' to each side of the equation.
X + 7x + -7x + -4x2 = -21 + 4x + -7x

Combine like terms: 7x + -7x = 0
X + 0 + -4x2 = -21 + 4x + -7x
X + -4x2 = -21 + 4x + -7x

Combine like terms: 4x + -7x = -3x
X + -4x2 = -21 + -3x

Add '4x2' to each side of the equation.
X + -4x2 + 4x2 = -21 + -3x + 4x2

Combine like terms: -4x2 + 4x2 = 0
X + 0 = -21 + -3x + 4x2
X = -21 + -3x + 4x2

Simplifying
X = -21 + -3x + 4x2

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