12(x+3)-4(x+12)-6x=0

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Solution for 12(x+3)-4(x+12)-6x=0 equation:


Simplifying
12(x + 3) + -4(x + 12) + -6x = 0

Reorder the terms:
12(3 + x) + -4(x + 12) + -6x = 0
(3 * 12 + x * 12) + -4(x + 12) + -6x = 0
(36 + 12x) + -4(x + 12) + -6x = 0

Reorder the terms:
36 + 12x + -4(12 + x) + -6x = 0
36 + 12x + (12 * -4 + x * -4) + -6x = 0
36 + 12x + (-48 + -4x) + -6x = 0

Reorder the terms:
36 + -48 + 12x + -4x + -6x = 0

Combine like terms: 36 + -48 = -12
-12 + 12x + -4x + -6x = 0

Combine like terms: 12x + -4x = 8x
-12 + 8x + -6x = 0

Combine like terms: 8x + -6x = 2x
-12 + 2x = 0

Solving
-12 + 2x = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 2x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 0 + 12
2x = 0 + 12

Combine like terms: 0 + 12 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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