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

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


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

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

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

Multiply (5 + x) * (-4 + 3x)
2 + (5(-4 + 3x) + x(-4 + 3x)) = (3x + 2)(x + 1) + 4x
2 + ((-4 * 5 + 3x * 5) + x(-4 + 3x)) = (3x + 2)(x + 1) + 4x
2 + ((-20 + 15x) + x(-4 + 3x)) = (3x + 2)(x + 1) + 4x
2 + (-20 + 15x + (-4 * x + 3x * x)) = (3x + 2)(x + 1) + 4x
2 + (-20 + 15x + (-4x + 3x2)) = (3x + 2)(x + 1) + 4x

Combine like terms: 15x + -4x = 11x
2 + (-20 + 11x + 3x2) = (3x + 2)(x + 1) + 4x

Combine like terms: 2 + -20 = -18
-18 + 11x + 3x2 = (3x + 2)(x + 1) + 4x

Reorder the terms:
-18 + 11x + 3x2 = (2 + 3x)(x + 1) + 4x

Reorder the terms:
-18 + 11x + 3x2 = (2 + 3x)(1 + x) + 4x

Multiply (2 + 3x) * (1 + x)
-18 + 11x + 3x2 = (2(1 + x) + 3x * (1 + x)) + 4x
-18 + 11x + 3x2 = ((1 * 2 + x * 2) + 3x * (1 + x)) + 4x
-18 + 11x + 3x2 = ((2 + 2x) + 3x * (1 + x)) + 4x
-18 + 11x + 3x2 = (2 + 2x + (1 * 3x + x * 3x)) + 4x
-18 + 11x + 3x2 = (2 + 2x + (3x + 3x2)) + 4x

Combine like terms: 2x + 3x = 5x
-18 + 11x + 3x2 = (2 + 5x + 3x2) + 4x

Reorder the terms:
-18 + 11x + 3x2 = 2 + 5x + 4x + 3x2

Combine like terms: 5x + 4x = 9x
-18 + 11x + 3x2 = 2 + 9x + 3x2

Add '-3x2' to each side of the equation.
-18 + 11x + 3x2 + -3x2 = 2 + 9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-18 + 11x + 0 = 2 + 9x + 3x2 + -3x2
-18 + 11x = 2 + 9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-18 + 11x = 2 + 9x + 0
-18 + 11x = 2 + 9x

Solving
-18 + 11x = 2 + 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.
-18 + 11x + -9x = 2 + 9x + -9x

Combine like terms: 11x + -9x = 2x
-18 + 2x = 2 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + 2x = 2 + 0
-18 + 2x = 2

Add '18' to each side of the equation.
-18 + 18 + 2x = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 2 + 18
2x = 2 + 18

Combine like terms: 2 + 18 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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