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

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


Simplifying
9(1 + -1x) = 2(1 + 2x) + 6
(1 * 9 + -1x * 9) = 2(1 + 2x) + 6
(9 + -9x) = 2(1 + 2x) + 6
9 + -9x = (1 * 2 + 2x * 2) + 6
9 + -9x = (2 + 4x) + 6

Reorder the terms:
9 + -9x = 2 + 6 + 4x

Combine like terms: 2 + 6 = 8
9 + -9x = 8 + 4x

Solving
9 + -9x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + -9x + -4x = 8 + 4x + -4x

Combine like terms: -9x + -4x = -13x
9 + -13x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -13x = 8 + 0
9 + -13x = 8

Add '-9' to each side of the equation.
9 + -9 + -13x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + -13x = 8 + -9
-13x = 8 + -9

Combine like terms: 8 + -9 = -1
-13x = -1

Divide each side by '-13'.
x = 0.07692307692

Simplifying
x = 0.07692307692

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