9(1-x)=6(1+2x)+7

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Solution for 9(1-x)=6(1+2x)+7 equation: 


Simplifying
9(1 + -1x) = 6(1 + 2x) + 7
(1 * 9 + -1x * 9) = 6(1 + 2x) + 7
(9 + -9x) = 6(1 + 2x) + 7
9 + -9x = (1 * 6 + 2x * 6) + 7
9 + -9x = (6 + 12x) + 7

Reorder the terms:
9 + -9x = 6 + 7 + 12x

Combine like terms: 6 + 7 = 13
9 + -9x = 13 + 12x

Solving
9 + -9x = 13 + 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.
9 + -9x + -12x = 13 + 12x + -12x

Combine like terms: -9x + -12x = -21x
9 + -21x = 13 + 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -21x = 13 + 0
9 + -21x = 13

Add '-9' to each side of the equation.
9 + -9 + -21x = 13 + -9

Combine like terms: 9 + -9 = 0
0 + -21x = 13 + -9
-21x = 13 + -9

Combine like terms: 13 + -9 = 4
-21x = 4

Divide each side by '-21'.
x = -0.1904761905

Simplifying
x = -0.1904761905

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