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

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


Simplifying
6(x + 3) * 2 = 15(x + 3) + -6

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

Reorder the terms for easier multiplication:
6 * 2(3 + x) = 15(x + 3) + -6

Multiply 6 * 2
12(3 + x) = 15(x + 3) + -6
(3 * 12 + x * 12) = 15(x + 3) + -6
(36 + 12x) = 15(x + 3) + -6

Reorder the terms:
36 + 12x = 15(3 + x) + -6
36 + 12x = (3 * 15 + x * 15) + -6
36 + 12x = (45 + 15x) + -6

Reorder the terms:
36 + 12x = 45 + -6 + 15x

Combine like terms: 45 + -6 = 39
36 + 12x = 39 + 15x

Solving
36 + 12x = 39 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
36 + 12x + -15x = 39 + 15x + -15x

Combine like terms: 12x + -15x = -3x
36 + -3x = 39 + 15x + -15x

Combine like terms: 15x + -15x = 0
36 + -3x = 39 + 0
36 + -3x = 39

Add '-36' to each side of the equation.
36 + -36 + -3x = 39 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 39 + -36
-3x = 39 + -36

Combine like terms: 39 + -36 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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