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

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


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

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

Combine like terms: 2x + 3x = 5x
3 + 5x = 3 + 5(5 + -5x) + 2(x + 12 + -2)
3 + 5x = 3 + (5 * 5 + -5x * 5) + 2(x + 12 + -2)
3 + 5x = 3 + (25 + -25x) + 2(x + 12 + -2)

Reorder the terms:
3 + 5x = 3 + 25 + -25x + 2(12 + -2 + x)

Combine like terms: 12 + -2 = 10
3 + 5x = 3 + 25 + -25x + 2(10 + x)
3 + 5x = 3 + 25 + -25x + (10 * 2 + x * 2)
3 + 5x = 3 + 25 + -25x + (20 + 2x)

Reorder the terms:
3 + 5x = 3 + 25 + 20 + -25x + 2x

Combine like terms: 3 + 25 = 28
3 + 5x = 28 + 20 + -25x + 2x

Combine like terms: 28 + 20 = 48
3 + 5x = 48 + -25x + 2x

Combine like terms: -25x + 2x = -23x
3 + 5x = 48 + -23x

Solving
3 + 5x = 48 + -23x

Solving for variable 'x'.

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

Add '23x' to each side of the equation.
3 + 5x + 23x = 48 + -23x + 23x

Combine like terms: 5x + 23x = 28x
3 + 28x = 48 + -23x + 23x

Combine like terms: -23x + 23x = 0
3 + 28x = 48 + 0
3 + 28x = 48

Add '-3' to each side of the equation.
3 + -3 + 28x = 48 + -3

Combine like terms: 3 + -3 = 0
0 + 28x = 48 + -3
28x = 48 + -3

Combine like terms: 48 + -3 = 45
28x = 45

Divide each side by '28'.
x = 1.607142857

Simplifying
x = 1.607142857

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