3(1-x)=6(1+2x)+9

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Solution for 3(1-x)=6(1+2x)+9 equation:


Simplifying
3(1 + -1x) = 6(1 + 2x) + 9
(1 * 3 + -1x * 3) = 6(1 + 2x) + 9
(3 + -3x) = 6(1 + 2x) + 9
3 + -3x = (1 * 6 + 2x * 6) + 9
3 + -3x = (6 + 12x) + 9

Reorder the terms:
3 + -3x = 6 + 9 + 12x

Combine like terms: 6 + 9 = 15
3 + -3x = 15 + 12x

Solving
3 + -3x = 15 + 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.
3 + -3x + -12x = 15 + 12x + -12x

Combine like terms: -3x + -12x = -15x
3 + -15x = 15 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -15x = 15 + 0
3 + -15x = 15

Add '-3' to each side of the equation.
3 + -3 + -15x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + -15x = 15 + -3
-15x = 15 + -3

Combine like terms: 15 + -3 = 12
-15x = 12

Divide each side by '-15'.
x = -0.8

Simplifying
x = -0.8

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