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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: 1x + 8x = 9x
-1 + 1x + 2x2 = (4 + 9x + 2x2) + -16

Reorder the terms:
-1 + 1x + 2x2 = 4 + -16 + 9x + 2x2

Combine like terms: 4 + -16 = -12
-1 + 1x + 2x2 = -12 + 9x + 2x2

Add '-2x2' to each side of the equation.
-1 + 1x + 2x2 + -2x2 = -12 + 9x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1 + 1x + 0 = -12 + 9x + 2x2 + -2x2
-1 + 1x = -12 + 9x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1 + 1x = -12 + 9x + 0
-1 + 1x = -12 + 9x

Solving
-1 + 1x = -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.
-1 + 1x + -9x = -12 + 9x + -9x

Combine like terms: 1x + -9x = -8x
-1 + -8x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-1 + -8x = -12 + 0
-1 + -8x = -12

Add '1' to each side of the equation.
-1 + 1 + -8x = -12 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = -12 + 1
-8x = -12 + 1

Combine like terms: -12 + 1 = -11
-8x = -11

Divide each side by '-8'.
x = 1.375

Simplifying
x = 1.375

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