(3x-2)(2x+5)=x(6x+21)-15

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Solution for (3x-2)(2x+5)=x(6x+21)-15 equation: 


Simplifying
(3x + -2)(2x + 5) = x(6x + 21) + -15

Reorder the terms:
(-2 + 3x)(2x + 5) = x(6x + 21) + -15

Reorder the terms:
(-2 + 3x)(5 + 2x) = x(6x + 21) + -15

Multiply (-2 + 3x) * (5 + 2x)
(-2(5 + 2x) + 3x * (5 + 2x)) = x(6x + 21) + -15
((5 * -2 + 2x * -2) + 3x * (5 + 2x)) = x(6x + 21) + -15
((-10 + -4x) + 3x * (5 + 2x)) = x(6x + 21) + -15
(-10 + -4x + (5 * 3x + 2x * 3x)) = x(6x + 21) + -15
(-10 + -4x + (15x + 6x2)) = x(6x + 21) + -15

Combine like terms: -4x + 15x = 11x
(-10 + 11x + 6x2) = x(6x + 21) + -15

Reorder the terms:
-10 + 11x + 6x2 = x(21 + 6x) + -15
-10 + 11x + 6x2 = (21 * x + 6x * x) + -15
-10 + 11x + 6x2 = (21x + 6x2) + -15

Reorder the terms:
-10 + 11x + 6x2 = -15 + 21x + 6x2

Add '-6x2' to each side of the equation.
-10 + 11x + 6x2 + -6x2 = -15 + 21x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-10 + 11x + 0 = -15 + 21x + 6x2 + -6x2
-10 + 11x = -15 + 21x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-10 + 11x = -15 + 21x + 0
-10 + 11x = -15 + 21x

Solving
-10 + 11x = -15 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-10 + 11x + -21x = -15 + 21x + -21x

Combine like terms: 11x + -21x = -10x
-10 + -10x = -15 + 21x + -21x

Combine like terms: 21x + -21x = 0
-10 + -10x = -15 + 0
-10 + -10x = -15

Add '10' to each side of the equation.
-10 + 10 + -10x = -15 + 10

Combine like terms: -10 + 10 = 0
0 + -10x = -15 + 10
-10x = -15 + 10

Combine like terms: -15 + 10 = -5
-10x = -5

Divide each side by '-10'.
x = 0.5

Simplifying
x = 0.5

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