1-6(x-3)=6+6(2x+4)

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Solution for 1-6(x-3)=6+6(2x+4) equation:


Simplifying
1 + -6(x + -3) = 6 + 6(2x + 4)

Reorder the terms:
1 + -6(-3 + x) = 6 + 6(2x + 4)
1 + (-3 * -6 + x * -6) = 6 + 6(2x + 4)
1 + (18 + -6x) = 6 + 6(2x + 4)

Combine like terms: 1 + 18 = 19
19 + -6x = 6 + 6(2x + 4)

Reorder the terms:
19 + -6x = 6 + 6(4 + 2x)
19 + -6x = 6 + (4 * 6 + 2x * 6)
19 + -6x = 6 + (24 + 12x)

Combine like terms: 6 + 24 = 30
19 + -6x = 30 + 12x

Solving
19 + -6x = 30 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
19 + -6x + -12x = 30 + 12x + -12x

Combine like terms: -6x + -12x = -18x
19 + -18x = 30 + 12x + -12x

Combine like terms: 12x + -12x = 0
19 + -18x = 30 + 0
19 + -18x = 30

Add '-19' to each side of the equation.
19 + -19 + -18x = 30 + -19

Combine like terms: 19 + -19 = 0
0 + -18x = 30 + -19
-18x = 30 + -19

Combine like terms: 30 + -19 = 11
-18x = 11

Divide each side by '-18'.
x = -0.6111111111

Simplifying
x = -0.6111111111

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