28+3x=6(-x+6)-62

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Solution for 28+3x=6(-x+6)-62 equation:


Simplifying
28 + 3x = 6(-1x + 6) + -62

Reorder the terms:
28 + 3x = 6(6 + -1x) + -62
28 + 3x = (6 * 6 + -1x * 6) + -62
28 + 3x = (36 + -6x) + -62

Reorder the terms:
28 + 3x = 36 + -62 + -6x

Combine like terms: 36 + -62 = -26
28 + 3x = -26 + -6x

Solving
28 + 3x = -26 + -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.
28 + 3x + 6x = -26 + -6x + 6x

Combine like terms: 3x + 6x = 9x
28 + 9x = -26 + -6x + 6x

Combine like terms: -6x + 6x = 0
28 + 9x = -26 + 0
28 + 9x = -26

Add '-28' to each side of the equation.
28 + -28 + 9x = -26 + -28

Combine like terms: 28 + -28 = 0
0 + 9x = -26 + -28
9x = -26 + -28

Combine like terms: -26 + -28 = -54
9x = -54

Divide each side by '9'.
x = -6

Simplifying
x = -6

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