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

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


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

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

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

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

Reorder the terms:
2 + 4x = x + -3(5 + x)
2 + 4x = x + (5 * -3 + x * -3)
2 + 4x = x + (-15 + -3x)

Reorder the terms:
2 + 4x = -15 + x + -3x

Combine like terms: x + -3x = -2x
2 + 4x = -15 + -2x

Solving
2 + 4x = -15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + 4x + 2x = -15 + -2x + 2x

Combine like terms: 4x + 2x = 6x
2 + 6x = -15 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 6x = -15 + 0
2 + 6x = -15

Add '-2' to each side of the equation.
2 + -2 + 6x = -15 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = -15 + -2
6x = -15 + -2

Combine like terms: -15 + -2 = -17
6x = -17

Divide each side by '6'.
x = -2.833333333

Simplifying
x = -2.833333333

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