x+9(2-8x)=12x-6(9x-3)

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Solution for x+9(2-8x)=12x-6(9x-3) equation:


Simplifying
x + 9(2 + -8x) = 12x + -6(9x + -3)
x + (2 * 9 + -8x * 9) = 12x + -6(9x + -3)
x + (18 + -72x) = 12x + -6(9x + -3)

Reorder the terms:
18 + x + -72x = 12x + -6(9x + -3)

Combine like terms: x + -72x = -71x
18 + -71x = 12x + -6(9x + -3)

Reorder the terms:
18 + -71x = 12x + -6(-3 + 9x)
18 + -71x = 12x + (-3 * -6 + 9x * -6)
18 + -71x = 12x + (18 + -54x)

Reorder the terms:
18 + -71x = 18 + 12x + -54x

Combine like terms: 12x + -54x = -42x
18 + -71x = 18 + -42x

Add '-18' to each side of the equation.
18 + -18 + -71x = 18 + -18 + -42x

Combine like terms: 18 + -18 = 0
0 + -71x = 18 + -18 + -42x
-71x = 18 + -18 + -42x

Combine like terms: 18 + -18 = 0
-71x = 0 + -42x
-71x = -42x

Solving
-71x = -42x

Solving for variable 'x'.

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

Add '42x' to each side of the equation.
-71x + 42x = -42x + 42x

Combine like terms: -71x + 42x = -29x
-29x = -42x + 42x

Combine like terms: -42x + 42x = 0
-29x = 0

Divide each side by '-29'.
x = 0

Simplifying
x = 0

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