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

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


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

Reorder the terms:
2 + -2x = 3(-9 + x)
2 + -2x = (-9 * 3 + x * 3)
2 + -2x = (-27 + 3x)

Solving
2 + -2x = -27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -2x + -3x = -27 + 3x + -3x

Combine like terms: -2x + -3x = -5x
2 + -5x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -5x = -27 + 0
2 + -5x = -27

Add '-2' to each side of the equation.
2 + -2 + -5x = -27 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -27 + -2
-5x = -27 + -2

Combine like terms: -27 + -2 = -29
-5x = -29

Divide each side by '-5'.
x = 5.8

Simplifying
x = 5.8

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