12(2x+6)-5(3-x)-2(4x-3)+7(12x-15)=1113

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Solution for 12(2x+6)-5(3-x)-2(4x-3)+7(12x-15)=1113 equation: 


Simplifying
12(2x + 6) + -5(3 + -1x) + -2(4x + -3) + 7(12x + -15) = 1113

Reorder the terms:
12(6 + 2x) + -5(3 + -1x) + -2(4x + -3) + 7(12x + -15) = 1113
(6 * 12 + 2x * 12) + -5(3 + -1x) + -2(4x + -3) + 7(12x + -15) = 1113
(72 + 24x) + -5(3 + -1x) + -2(4x + -3) + 7(12x + -15) = 1113
72 + 24x + (3 * -5 + -1x * -5) + -2(4x + -3) + 7(12x + -15) = 1113
72 + 24x + (-15 + 5x) + -2(4x + -3) + 7(12x + -15) = 1113

Reorder the terms:
72 + 24x + -15 + 5x + -2(-3 + 4x) + 7(12x + -15) = 1113
72 + 24x + -15 + 5x + (-3 * -2 + 4x * -2) + 7(12x + -15) = 1113
72 + 24x + -15 + 5x + (6 + -8x) + 7(12x + -15) = 1113

Reorder the terms:
72 + 24x + -15 + 5x + 6 + -8x + 7(-15 + 12x) = 1113
72 + 24x + -15 + 5x + 6 + -8x + (-15 * 7 + 12x * 7) = 1113
72 + 24x + -15 + 5x + 6 + -8x + (-105 + 84x) = 1113

Reorder the terms:
72 + -15 + 6 + -105 + 24x + 5x + -8x + 84x = 1113

Combine like terms: 72 + -15 = 57
57 + 6 + -105 + 24x + 5x + -8x + 84x = 1113

Combine like terms: 57 + 6 = 63
63 + -105 + 24x + 5x + -8x + 84x = 1113

Combine like terms: 63 + -105 = -42
-42 + 24x + 5x + -8x + 84x = 1113

Combine like terms: 24x + 5x = 29x
-42 + 29x + -8x + 84x = 1113

Combine like terms: 29x + -8x = 21x
-42 + 21x + 84x = 1113

Combine like terms: 21x + 84x = 105x
-42 + 105x = 1113

Solving
-42 + 105x = 1113

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 105x = 1113 + 42

Combine like terms: -42 + 42 = 0
0 + 105x = 1113 + 42
105x = 1113 + 42

Combine like terms: 1113 + 42 = 1155
105x = 1155

Divide each side by '105'.
x = 11

Simplifying
x = 11

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