2x+6+(6x-8)=6x-15

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Solution for 2x+6+(6x-8)=6x-15 equation:


Simplifying
2x + 6 + (6x + -8) = 6x + -15

Reorder the terms:
2x + 6 + (-8 + 6x) = 6x + -15

Remove parenthesis around (-8 + 6x)
2x + 6 + -8 + 6x = 6x + -15

Reorder the terms:
6 + -8 + 2x + 6x = 6x + -15

Combine like terms: 6 + -8 = -2
-2 + 2x + 6x = 6x + -15

Combine like terms: 2x + 6x = 8x
-2 + 8x = 6x + -15

Reorder the terms:
-2 + 8x = -15 + 6x

Solving
-2 + 8x = -15 + 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.
-2 + 8x + -6x = -15 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-2 + 2x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 2x = -15 + 0
-2 + 2x = -15

Add '2' to each side of the equation.
-2 + 2 + 2x = -15 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = -15 + 2
2x = -15 + 2

Combine like terms: -15 + 2 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5

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