2(1-x)=3(1+3x)+5

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Solution for 2(1-x)=3(1+3x)+5 equation: 


Simplifying
2(1 + -1x) = 3(1 + 3x) + 5
(1 * 2 + -1x * 2) = 3(1 + 3x) + 5
(2 + -2x) = 3(1 + 3x) + 5
2 + -2x = (1 * 3 + 3x * 3) + 5
2 + -2x = (3 + 9x) + 5

Reorder the terms:
2 + -2x = 3 + 5 + 9x

Combine like terms: 3 + 5 = 8
2 + -2x = 8 + 9x

Solving
2 + -2x = 8 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + -2x + -9x = 8 + 9x + -9x

Combine like terms: -2x + -9x = -11x
2 + -11x = 8 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -11x = 8 + 0
2 + -11x = 8

Add '-2' to each side of the equation.
2 + -2 + -11x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = 8 + -2
-11x = 8 + -2

Combine like terms: 8 + -2 = 6
-11x = 6

Divide each side by '-11'.
x = -0.5454545455

Simplifying
x = -0.5454545455

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