24+7x(4x-5)=5x(6x-1)-2x(x+13)

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Solution for 24+7x(4x-5)=5x(6x-1)-2x(x+13) equation: 


Simplifying
24 + 7x(4x + -5) = 5x(6x + -1) + -2x(x + 13)

Reorder the terms:
24 + 7x(-5 + 4x) = 5x(6x + -1) + -2x(x + 13)
24 + (-5 * 7x + 4x * 7x) = 5x(6x + -1) + -2x(x + 13)
24 + (-35x + 28x2) = 5x(6x + -1) + -2x(x + 13)

Reorder the terms:
24 + -35x + 28x2 = 5x(-1 + 6x) + -2x(x + 13)
24 + -35x + 28x2 = (-1 * 5x + 6x * 5x) + -2x(x + 13)
24 + -35x + 28x2 = (-5x + 30x2) + -2x(x + 13)

Reorder the terms:
24 + -35x + 28x2 = -5x + 30x2 + -2x(13 + x)
24 + -35x + 28x2 = -5x + 30x2 + (13 * -2x + x * -2x)
24 + -35x + 28x2 = -5x + 30x2 + (-26x + -2x2)

Reorder the terms:
24 + -35x + 28x2 = -5x + -26x + 30x2 + -2x2

Combine like terms: -5x + -26x = -31x
24 + -35x + 28x2 = -31x + 30x2 + -2x2

Combine like terms: 30x2 + -2x2 = 28x2
24 + -35x + 28x2 = -31x + 28x2

Add '-28x2' to each side of the equation.
24 + -35x + 28x2 + -28x2 = -31x + 28x2 + -28x2

Combine like terms: 28x2 + -28x2 = 0
24 + -35x + 0 = -31x + 28x2 + -28x2
24 + -35x = -31x + 28x2 + -28x2

Combine like terms: 28x2 + -28x2 = 0
24 + -35x = -31x + 0
24 + -35x = -31x

Solving
24 + -35x = -31x

Solving for variable 'x'.

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

Add '31x' to each side of the equation.
24 + -35x + 31x = -31x + 31x

Combine like terms: -35x + 31x = -4x
24 + -4x = -31x + 31x

Combine like terms: -31x + 31x = 0
24 + -4x = 0

Add '-24' to each side of the equation.
24 + -24 + -4x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = 0 + -24
-4x = 0 + -24

Combine like terms: 0 + -24 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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