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

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


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

Reorder the terms:
2x(-4 + x) + 5 = (x + -3)(2x + 1) + -4
(-4 * 2x + x * 2x) + 5 = (x + -3)(2x + 1) + -4
(-8x + 2x2) + 5 = (x + -3)(2x + 1) + -4

Reorder the terms:
5 + -8x + 2x2 = (x + -3)(2x + 1) + -4

Reorder the terms:
5 + -8x + 2x2 = (-3 + x)(2x + 1) + -4

Reorder the terms:
5 + -8x + 2x2 = (-3 + x)(1 + 2x) + -4

Multiply (-3 + x) * (1 + 2x)
5 + -8x + 2x2 = (-3(1 + 2x) + x(1 + 2x)) + -4
5 + -8x + 2x2 = ((1 * -3 + 2x * -3) + x(1 + 2x)) + -4
5 + -8x + 2x2 = ((-3 + -6x) + x(1 + 2x)) + -4
5 + -8x + 2x2 = (-3 + -6x + (1 * x + 2x * x)) + -4
5 + -8x + 2x2 = (-3 + -6x + (1x + 2x2)) + -4

Combine like terms: -6x + 1x = -5x
5 + -8x + 2x2 = (-3 + -5x + 2x2) + -4

Reorder the terms:
5 + -8x + 2x2 = -3 + -4 + -5x + 2x2

Combine like terms: -3 + -4 = -7
5 + -8x + 2x2 = -7 + -5x + 2x2

Add '-2x2' to each side of the equation.
5 + -8x + 2x2 + -2x2 = -7 + -5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + -8x + 0 = -7 + -5x + 2x2 + -2x2
5 + -8x = -7 + -5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + -8x = -7 + -5x + 0
5 + -8x = -7 + -5x

Solving
5 + -8x = -7 + -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.
5 + -8x + 5x = -7 + -5x + 5x

Combine like terms: -8x + 5x = -3x
5 + -3x = -7 + -5x + 5x

Combine like terms: -5x + 5x = 0
5 + -3x = -7 + 0
5 + -3x = -7

Add '-5' to each side of the equation.
5 + -5 + -3x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -7 + -5
-3x = -7 + -5

Combine like terms: -7 + -5 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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