2x-(8x+2)=6x-38

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Solution for 2x-(8x+2)=6x-38 equation:


Simplifying
2x + -1(8x + 2) = 6x + -38

Reorder the terms:
2x + -1(2 + 8x) = 6x + -38
2x + (2 * -1 + 8x * -1) = 6x + -38
2x + (-2 + -8x) = 6x + -38

Reorder the terms:
-2 + 2x + -8x = 6x + -38

Combine like terms: 2x + -8x = -6x
-2 + -6x = 6x + -38

Reorder the terms:
-2 + -6x = -38 + 6x

Solving
-2 + -6x = -38 + 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 + -6x + -6x = -38 + 6x + -6x

Combine like terms: -6x + -6x = -12x
-2 + -12x = -38 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -12x = -38 + 0
-2 + -12x = -38

Add '2' to each side of the equation.
-2 + 2 + -12x = -38 + 2

Combine like terms: -2 + 2 = 0
0 + -12x = -38 + 2
-12x = -38 + 2

Combine like terms: -38 + 2 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3

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