2x-(5x+10)=6x-(x+2)+(2x-5)

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Solution for 2x-(5x+10)=6x-(x+2)+(2x-5) equation: 


Simplifying
2x + -1(5x + 10) = 6x + -1(x + 2) + (2x + -5)

Reorder the terms:
2x + -1(10 + 5x) = 6x + -1(x + 2) + (2x + -5)
2x + (10 * -1 + 5x * -1) = 6x + -1(x + 2) + (2x + -5)
2x + (-10 + -5x) = 6x + -1(x + 2) + (2x + -5)

Reorder the terms:
-10 + 2x + -5x = 6x + -1(x + 2) + (2x + -5)

Combine like terms: 2x + -5x = -3x
-10 + -3x = 6x + -1(x + 2) + (2x + -5)

Reorder the terms:
-10 + -3x = 6x + -1(2 + x) + (2x + -5)
-10 + -3x = 6x + (2 * -1 + x * -1) + (2x + -5)
-10 + -3x = 6x + (-2 + -1x) + (2x + -5)

Reorder the terms:
-10 + -3x = 6x + -2 + -1x + (-5 + 2x)

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

Reorder the terms:
-10 + -3x = -2 + -5 + 6x + -1x + 2x

Combine like terms: -2 + -5 = -7
-10 + -3x = -7 + 6x + -1x + 2x

Combine like terms: 6x + -1x = 5x
-10 + -3x = -7 + 5x + 2x

Combine like terms: 5x + 2x = 7x
-10 + -3x = -7 + 7x

Solving
-10 + -3x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-10 + -3x + -7x = -7 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-10 + -10x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -10x = -7 + 0
-10 + -10x = -7

Add '10' to each side of the equation.
-10 + 10 + -10x = -7 + 10

Combine like terms: -10 + 10 = 0
0 + -10x = -7 + 10
-10x = -7 + 10

Combine like terms: -7 + 10 = 3
-10x = 3

Divide each side by '-10'.
x = -0.3

Simplifying
x = -0.3

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