12+(5-5x)-(1-x)=3x-2(x-3)

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Solution for 12+(5-5x)-(1-x)=3x-2(x-3) equation:


Simplifying
12 + (5 + -5x) + -1(1 + -1x) = 3x + -2(x + -3)

Remove parenthesis around (5 + -5x)
12 + 5 + -5x + -1(1 + -1x) = 3x + -2(x + -3)
12 + 5 + -5x + (1 * -1 + -1x * -1) = 3x + -2(x + -3)
12 + 5 + -5x + (-1 + 1x) = 3x + -2(x + -3)

Reorder the terms:
12 + 5 + -1 + -5x + 1x = 3x + -2(x + -3)

Combine like terms: 12 + 5 = 17
17 + -1 + -5x + 1x = 3x + -2(x + -3)

Combine like terms: 17 + -1 = 16
16 + -5x + 1x = 3x + -2(x + -3)

Combine like terms: -5x + 1x = -4x
16 + -4x = 3x + -2(x + -3)

Reorder the terms:
16 + -4x = 3x + -2(-3 + x)
16 + -4x = 3x + (-3 * -2 + x * -2)
16 + -4x = 3x + (6 + -2x)

Reorder the terms:
16 + -4x = 6 + 3x + -2x

Combine like terms: 3x + -2x = 1x
16 + -4x = 6 + 1x

Solving
16 + -4x = 6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + -4x + -1x = 6 + 1x + -1x

Combine like terms: -4x + -1x = -5x
16 + -5x = 6 + 1x + -1x

Combine like terms: 1x + -1x = 0
16 + -5x = 6 + 0
16 + -5x = 6

Add '-16' to each side of the equation.
16 + -16 + -5x = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 6 + -16
-5x = 6 + -16

Combine like terms: 6 + -16 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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