6x(7-x)=36-2x(3x-15)

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Solution for 6x(7-x)=36-2x(3x-15) equation:


Simplifying
6x(7 + -1x) = 36 + -2x(3x + -15)
(7 * 6x + -1x * 6x) = 36 + -2x(3x + -15)
(42x + -6x2) = 36 + -2x(3x + -15)

Reorder the terms:
42x + -6x2 = 36 + -2x(-15 + 3x)
42x + -6x2 = 36 + (-15 * -2x + 3x * -2x)
42x + -6x2 = 36 + (30x + -6x2)

Add '6x2' to each side of the equation.
42x + -6x2 + 6x2 = 36 + 30x + -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
42x + 0 = 36 + 30x + -6x2 + 6x2
42x = 36 + 30x + -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
42x = 36 + 30x + 0
42x = 36 + 30x

Solving
42x = 36 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
42x + -30x = 36 + 30x + -30x

Combine like terms: 42x + -30x = 12x
12x = 36 + 30x + -30x

Combine like terms: 30x + -30x = 0
12x = 36 + 0
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3

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