3(5-3x)+5y-15x+5(13x-1)=[3+12(3x-6)+15]+15y-3

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Solution for 3(5-3x)+5y-15x+5(13x-1)=[3+12(3x-6)+15]+15y-3 equation:


Simplifying
3(5 + -3x) + 5y + -15x + 5(13x + -1) = [3 + 12(3x + -6) + 15] + 15y + -3
(5 * 3 + -3x * 3) + 5y + -15x + 5(13x + -1) = [3 + 12(3x + -6) + 15] + 15y + -3
(15 + -9x) + 5y + -15x + 5(13x + -1) = [3 + 12(3x + -6) + 15] + 15y + -3

Reorder the terms:
15 + -9x + 5y + -15x + 5(-1 + 13x) = [3 + 12(3x + -6) + 15] + 15y + -3
15 + -9x + 5y + -15x + (-1 * 5 + 13x * 5) = [3 + 12(3x + -6) + 15] + 15y + -3
15 + -9x + 5y + -15x + (-5 + 65x) = [3 + 12(3x + -6) + 15] + 15y + -3

Reorder the terms:
15 + -5 + -9x + -15x + 65x + 5y = [3 + 12(3x + -6) + 15] + 15y + -3

Combine like terms: 15 + -5 = 10
10 + -9x + -15x + 65x + 5y = [3 + 12(3x + -6) + 15] + 15y + -3

Combine like terms: -9x + -15x = -24x
10 + -24x + 65x + 5y = [3 + 12(3x + -6) + 15] + 15y + -3

Combine like terms: -24x + 65x = 41x
10 + 41x + 5y = [3 + 12(3x + -6) + 15] + 15y + -3

Reorder the terms:
10 + 41x + 5y = [3 + 12(-6 + 3x) + 15] + 15y + -3
10 + 41x + 5y = [3 + (-6 * 12 + 3x * 12) + 15] + 15y + -3
10 + 41x + 5y = [3 + (-72 + 36x) + 15] + 15y + -3

Reorder the terms:
10 + 41x + 5y = [3 + -72 + 15 + 36x] + 15y + -3

Combine like terms: 3 + -72 = -69
10 + 41x + 5y = [-69 + 15 + 36x] + 15y + -3

Combine like terms: -69 + 15 = -54
10 + 41x + 5y = [-54 + 36x] + 15y + -3

Remove brackets around [-54 + 36x]
10 + 41x + 5y = -54 + 36x + 15y + -3

Reorder the terms:
10 + 41x + 5y = -54 + -3 + 36x + 15y

Combine like terms: -54 + -3 = -57
10 + 41x + 5y = -57 + 36x + 15y

Solving
10 + 41x + 5y = -57 + 36x + 15y

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
10 + 41x + -36x + 5y = -57 + 36x + -36x + 15y

Combine like terms: 41x + -36x = 5x
10 + 5x + 5y = -57 + 36x + -36x + 15y

Combine like terms: 36x + -36x = 0
10 + 5x + 5y = -57 + 0 + 15y
10 + 5x + 5y = -57 + 15y

Add '-10' to each side of the equation.
10 + 5x + -10 + 5y = -57 + -10 + 15y

Reorder the terms:
10 + -10 + 5x + 5y = -57 + -10 + 15y

Combine like terms: 10 + -10 = 0
0 + 5x + 5y = -57 + -10 + 15y
5x + 5y = -57 + -10 + 15y

Combine like terms: -57 + -10 = -67
5x + 5y = -67 + 15y

Add '-5y' to each side of the equation.
5x + 5y + -5y = -67 + 15y + -5y

Combine like terms: 5y + -5y = 0
5x + 0 = -67 + 15y + -5y
5x = -67 + 15y + -5y

Combine like terms: 15y + -5y = 10y
5x = -67 + 10y

Divide each side by '5'.
x = -13.4 + 2y

Simplifying
x = -13.4 + 2y

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