3x+(-5x-x-3)=8x+(-5x-10)

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Solution for 3x+(-5x-x-3)=8x+(-5x-10) equation:


Simplifying
3x + (-5x + -1x + -3) = 8x + (-5x + -10)

Reorder the terms:
3x + (-3 + -5x + -1x) = 8x + (-5x + -10)

Combine like terms: -5x + -1x = -6x
3x + (-3 + -6x) = 8x + (-5x + -10)

Remove parenthesis around (-3 + -6x)
3x + -3 + -6x = 8x + (-5x + -10)

Reorder the terms:
-3 + 3x + -6x = 8x + (-5x + -10)

Combine like terms: 3x + -6x = -3x
-3 + -3x = 8x + (-5x + -10)

Reorder the terms:
-3 + -3x = 8x + (-10 + -5x)

Remove parenthesis around (-10 + -5x)
-3 + -3x = 8x + -10 + -5x

Reorder the terms:
-3 + -3x = -10 + 8x + -5x

Combine like terms: 8x + -5x = 3x
-3 + -3x = -10 + 3x

Solving
-3 + -3x = -10 + 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.
-3 + -3x + -3x = -10 + 3x + -3x

Combine like terms: -3x + -3x = -6x
-3 + -6x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -6x = -10 + 0
-3 + -6x = -10

Add '3' to each side of the equation.
-3 + 3 + -6x = -10 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = -10 + 3
-6x = -10 + 3

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

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667

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