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

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


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

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

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

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

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

Combine like terms: 2 + -15 = -13
2 + 4x = -13 + -3x

Solving
2 + 4x = -13 + -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 + 4x + 3x = -13 + -3x + 3x

Combine like terms: 4x + 3x = 7x
2 + 7x = -13 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 7x = -13 + 0
2 + 7x = -13

Add '-2' to each side of the equation.
2 + -2 + 7x = -13 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = -13 + -2
7x = -13 + -2

Combine like terms: -13 + -2 = -15
7x = -15

Divide each side by '7'.
x = -2.142857143

Simplifying
x = -2.142857143

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