(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 = 9x
-6 + 6x + 2x2 = (4 + 9x + 2x2) + -16

Reorder the terms:
-6 + 6x + 2x2 = 4 + -16 + 9x + 2x2

Combine like terms: 4 + -16 = -12
-6 + 6x + 2x2 = -12 + 9x + 2x2

Add '-2x2' to each side of the equation.
-6 + 6x + 2x2 + -2x2 = -12 + 9x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6 + 6x + 0 = -12 + 9x + 2x2 + -2x2
-6 + 6x = -12 + 9x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6 + 6x = -12 + 9x + 0
-6 + 6x = -12 + 9x

Solving
-6 + 6x = -12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-6 + 6x + -9x = -12 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-6 + -3x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -3x = -12 + 0
-6 + -3x = -12

Add '6' to each side of the equation.
-6 + 6 + -3x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -12 + 6
-3x = -12 + 6

Combine like terms: -12 + 6 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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