(3x-5)-(6x)=x

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


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

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

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

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

Multiply -1 * 6
-5 + 3x + -6x = x

Combine like terms: 3x + -6x = -3x
-5 + -3x = x

Solving
-5 + -3x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + -3x + -1x = x + -1x

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

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

Add '5' to each side of the equation.
-5 + 5 + -4x = 0 + 5

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

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

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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