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

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


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

Reorder the terms:
2 + -2x = 3(1 + 5 + 2x)

Combine like terms: 1 + 5 = 6
2 + -2x = 3(6 + 2x)
2 + -2x = (6 * 3 + 2x * 3)
2 + -2x = (18 + 6x)

Solving
2 + -2x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + -2x + -6x = 18 + 6x + -6x

Combine like terms: -2x + -6x = -8x
2 + -8x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -8x = 18 + 0
2 + -8x = 18

Add '-2' to each side of the equation.
2 + -2 + -8x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = 18 + -2
-8x = 18 + -2

Combine like terms: 18 + -2 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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