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

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


Simplifying
3(3 + -2x) + x = x + -5(x + 2)
(3 * 3 + -2x * 3) + x = x + -5(x + 2)
(9 + -6x) + x = x + -5(x + 2)

Combine like terms: -6x + x = -5x
9 + -5x = x + -5(x + 2)

Reorder the terms:
9 + -5x = x + -5(2 + x)
9 + -5x = x + (2 * -5 + x * -5)
9 + -5x = x + (-10 + -5x)

Reorder the terms:
9 + -5x = -10 + x + -5x

Combine like terms: x + -5x = -4x
9 + -5x = -10 + -4x

Solving
9 + -5x = -10 + -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 + -5x + 4x = -10 + -4x + 4x

Combine like terms: -5x + 4x = -1x
9 + -1x = -10 + -4x + 4x

Combine like terms: -4x + 4x = 0
9 + -1x = -10 + 0
9 + -1x = -10

Add '-9' to each side of the equation.
9 + -9 + -1x = -10 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -10 + -9
-1x = -10 + -9

Combine like terms: -10 + -9 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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