(x+6)-(3x-2)=68

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Solution for (x+6)-(3x-2)=68 equation:


Simplifying
(x + 6) + -1(3x + -2) = 68

Reorder the terms:
(6 + x) + -1(3x + -2) = 68

Remove parenthesis around (6 + x)
6 + x + -1(3x + -2) = 68

Reorder the terms:
6 + x + -1(-2 + 3x) = 68
6 + x + (-2 * -1 + 3x * -1) = 68
6 + x + (2 + -3x) = 68

Reorder the terms:
6 + 2 + x + -3x = 68

Combine like terms: 6 + 2 = 8
8 + x + -3x = 68

Combine like terms: x + -3x = -2x
8 + -2x = 68

Solving
8 + -2x = 68

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -2x = 68 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 68 + -8
-2x = 68 + -8

Combine like terms: 68 + -8 = 60
-2x = 60

Divide each side by '-2'.
x = -30

Simplifying
x = -30

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