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

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


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

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

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

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

Remove parenthesis around (-1 + x)
5 + 3x = 5x + -1(-1 + x + -2(3 + 5x))
5 + 3x = 5x + -1(-1 + x + (3 * -2 + 5x * -2))
5 + 3x = 5x + -1(-1 + x + (-6 + -10x))

Reorder the terms:
5 + 3x = 5x + -1(-1 + -6 + x + -10x)

Combine like terms: -1 + -6 = -7
5 + 3x = 5x + -1(-7 + x + -10x)

Combine like terms: x + -10x = -9x
5 + 3x = 5x + -1(-7 + -9x)
5 + 3x = 5x + (-7 * -1 + -9x * -1)
5 + 3x = 5x + (7 + 9x)

Reorder the terms:
5 + 3x = 7 + 5x + 9x

Combine like terms: 5x + 9x = 14x
5 + 3x = 7 + 14x

Solving
5 + 3x = 7 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
5 + 3x + -14x = 7 + 14x + -14x

Combine like terms: 3x + -14x = -11x
5 + -11x = 7 + 14x + -14x

Combine like terms: 14x + -14x = 0
5 + -11x = 7 + 0
5 + -11x = 7

Add '-5' to each side of the equation.
5 + -5 + -11x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -11x = 7 + -5
-11x = 7 + -5

Combine like terms: 7 + -5 = 2
-11x = 2

Divide each side by '-11'.
x = -0.1818181818

Simplifying
x = -0.1818181818

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