3+(x-1)=2x-(5x+7)

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Solution for 3+(x-1)=2x-(5x+7) equation:


Simplifying
3 + (x + -1) = 2x + -1(5x + 7)

Reorder the terms:
3 + (-1 + x) = 2x + -1(5x + 7)

Remove parenthesis around (-1 + x)
3 + -1 + x = 2x + -1(5x + 7)

Combine like terms: 3 + -1 = 2
2 + x = 2x + -1(5x + 7)

Reorder the terms:
2 + x = 2x + -1(7 + 5x)
2 + x = 2x + (7 * -1 + 5x * -1)
2 + x = 2x + (-7 + -5x)

Reorder the terms:
2 + x = -7 + 2x + -5x

Combine like terms: 2x + -5x = -3x
2 + x = -7 + -3x

Solving
2 + x = -7 + -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 + x + 3x = -7 + -3x + 3x

Combine like terms: x + 3x = 4x
2 + 4x = -7 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 4x = -7 + 0
2 + 4x = -7

Add '-2' to each side of the equation.
2 + -2 + 4x = -7 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -7 + -2
4x = -7 + -2

Combine like terms: -7 + -2 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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