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

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


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

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

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

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

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

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

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

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

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

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

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

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

Add '-3x2' to each side of the equation.
-18 + 11x + 3x2 + -3x2 = 2 + -1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-18 + 11x + 0 = 2 + -1x + 3x2 + -3x2
-18 + 11x = 2 + -1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-18 + 11x = 2 + -1x + 0
-18 + 11x = 2 + -1x

Solving
-18 + 11x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-18 + 11x + x = 2 + -1x + x

Combine like terms: 11x + x = 12x
-18 + 12x = 2 + -1x + x

Combine like terms: -1x + x = 0
-18 + 12x = 2 + 0
-18 + 12x = 2

Add '18' to each side of the equation.
-18 + 18 + 12x = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 12x = 2 + 18
12x = 2 + 18

Combine like terms: 2 + 18 = 20
12x = 20

Divide each side by '12'.
x = 1.666666667

Simplifying
x = 1.666666667

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