30=42-6(x-2)

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Solution for 30=42-6(x-2) equation:


Simplifying
30 = 42 + -6(x + -2)

Reorder the terms:
30 = 42 + -6(-2 + x)
30 = 42 + (-2 * -6 + x * -6)
30 = 42 + (12 + -6x)

Combine like terms: 42 + 12 = 54
30 = 54 + -6x

Solving
30 = 54 + -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.
30 + 6x = 54 + -6x + 6x

Combine like terms: -6x + 6x = 0
30 + 6x = 54 + 0
30 + 6x = 54

Add '-30' to each side of the equation.
30 + -30 + 6x = 54 + -30

Combine like terms: 30 + -30 = 0
0 + 6x = 54 + -30
6x = 54 + -30

Combine like terms: 54 + -30 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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