(x+2)(2x-3)+5x=(2x-1)(x+4)-16

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Solution for (x+2)(2x-3)+5x=(2x-1)(x+4)-16 equation: 


Simplifying
(x + 2)(2x + -3) + 5x = (2x + -1)(x + 4) + -16

Reorder the terms:
(2 + x)(2x + -3) + 5x = (2x + -1)(x + 4) + -16

Reorder the terms:
(2 + x)(-3 + 2x) + 5x = (2x + -1)(x + 4) + -16

Multiply (2 + x) * (-3 + 2x)
(2(-3 + 2x) + x(-3 + 2x)) + 5x = (2x + -1)(x + 4) + -16
((-3 * 2 + 2x * 2) + x(-3 + 2x)) + 5x = (2x + -1)(x + 4) + -16
((-6 + 4x) + x(-3 + 2x)) + 5x = (2x + -1)(x + 4) + -16
(-6 + 4x + (-3 * x + 2x * x)) + 5x = (2x + -1)(x + 4) + -16
(-6 + 4x + (-3x + 2x2)) + 5x = (2x + -1)(x + 4) + -16

Combine like terms: 4x + -3x = 1x
(-6 + 1x + 2x2) + 5x = (2x + -1)(x + 4) + -16

Reorder the terms:
-6 + 1x + 5x + 2x2 = (2x + -1)(x + 4) + -16

Combine like terms: 1x + 5x = 6x
-6 + 6x + 2x2 = (2x + -1)(x + 4) + -16

Reorder the terms:
-6 + 6x + 2x2 = (-1 + 2x)(x + 4) + -16

Reorder the terms:
-6 + 6x + 2x2 = (-1 + 2x)(4 + x) + -16

Multiply (-1 + 2x) * (4 + x)
-6 + 6x + 2x2 = (-1(4 + x) + 2x * (4 + x)) + -16
-6 + 6x + 2x2 = ((4 * -1 + x * -1) + 2x * (4 + x)) + -16
-6 + 6x + 2x2 = ((-4 + -1x) + 2x * (4 + x)) + -16
-6 + 6x + 2x2 = (-4 + -1x + (4 * 2x + x * 2x)) + -16
-6 + 6x + 2x2 = (-4 + -1x + (8x + 2x2)) + -16

Combine like terms: -1x + 8x = 7x
-6 + 6x + 2x2 = (-4 + 7x + 2x2) + -16

Reorder the terms:
-6 + 6x + 2x2 = -4 + -16 + 7x + 2x2

Combine like terms: -4 + -16 = -20
-6 + 6x + 2x2 = -20 + 7x + 2x2

Add '-2x2' to each side of the equation.
-6 + 6x + 2x2 + -2x2 = -20 + 7x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6 + 6x + 0 = -20 + 7x + 2x2 + -2x2
-6 + 6x = -20 + 7x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6 + 6x = -20 + 7x + 0
-6 + 6x = -20 + 7x

Solving
-6 + 6x = -20 + 7x

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.
-6 + 6x + -7x = -20 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-6 + -1x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -1x = -20 + 0
-6 + -1x = -20

Add '6' to each side of the equation.
-6 + 6 + -1x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -20 + 6
-1x = -20 + 6

Combine like terms: -20 + 6 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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