15x+6x(2-3x)=9x(5-2x)-36

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Solution for 15x+6x(2-3x)=9x(5-2x)-36 equation: 


Simplifying
15x + 6x(2 + -3x) = 9x(5 + -2x) + -36
15x + (2 * 6x + -3x * 6x) = 9x(5 + -2x) + -36
15x + (12x + -18x2) = 9x(5 + -2x) + -36

Combine like terms: 15x + 12x = 27x
27x + -18x2 = 9x(5 + -2x) + -36
27x + -18x2 = (5 * 9x + -2x * 9x) + -36
27x + -18x2 = (45x + -18x2) + -36

Reorder the terms:
27x + -18x2 = -36 + 45x + -18x2

Add '18x2' to each side of the equation.
27x + -18x2 + 18x2 = -36 + 45x + -18x2 + 18x2

Combine like terms: -18x2 + 18x2 = 0
27x + 0 = -36 + 45x + -18x2 + 18x2
27x = -36 + 45x + -18x2 + 18x2

Combine like terms: -18x2 + 18x2 = 0
27x = -36 + 45x + 0
27x = -36 + 45x

Solving
27x = -36 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
27x + -45x = -36 + 45x + -45x

Combine like terms: 27x + -45x = -18x
-18x = -36 + 45x + -45x

Combine like terms: 45x + -45x = 0
-18x = -36 + 0
-18x = -36

Divide each side by '-18'.
x = 2

Simplifying
x = 2

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