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

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


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

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

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

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

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

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

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

Solving
68 = 8 + -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.
68 + 2x = 8 + -2x + 2x

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

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

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

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

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

Simplifying
x = -30

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