5x-10=6x-(x+2)+(-x-3)

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Solution for 5x-10=6x-(x+2)+(-x-3) equation:


Simplifying
5x + -10 = 6x + -1(x + 2) + (-1x + -3)

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

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

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

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

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

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

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

Combine like terms: 5x + -1x = 4x
-10 + 5x = -5 + 4x

Solving
-10 + 5x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 5x + -4x = -5 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-10 + 1x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 1x = -5 + 0
-10 + 1x = -5

Add '10' to each side of the equation.
-10 + 10 + 1x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -5 + 10
1x = -5 + 10

Combine like terms: -5 + 10 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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