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

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


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

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

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

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

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

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

Combine like terms: x + -1x = 0
-7 + 0 = 6x
-7 = 6x

Solving
-7 = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -6x = 0

Add '7' to each side of the equation.
-7 + 7 + -6x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = 0 + 7
-6x = 0 + 7

Combine like terms: 0 + 7 = 7
-6x = 7

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

Simplifying
x = -1.166666667

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