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

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


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

Reorder the terms:
6(5 + x) = (x + -5) + x
(5 * 6 + x * 6) = (x + -5) + x
(30 + 6x) = (x + -5) + x

Reorder the terms:
30 + 6x = (-5 + x) + x

Remove parenthesis around (-5 + x)
30 + 6x = -5 + x + x

Combine like terms: x + x = 2x
30 + 6x = -5 + 2x

Solving
30 + 6x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + 6x + -2x = -5 + 2x + -2x

Combine like terms: 6x + -2x = 4x
30 + 4x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 4x = -5 + 0
30 + 4x = -5

Add '-30' to each side of the equation.
30 + -30 + 4x = -5 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = -5 + -30
4x = -5 + -30

Combine like terms: -5 + -30 = -35
4x = -35

Divide each side by '4'.
x = -8.75

Simplifying
x = -8.75

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