30-(x+6)=6x-4

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Solution for 30-(x+6)=6x-4 equation:


Simplifying
30 + -1(x + 6) = 6x + -4

Reorder the terms:
30 + -1(6 + x) = 6x + -4
30 + (6 * -1 + x * -1) = 6x + -4
30 + (-6 + -1x) = 6x + -4

Combine like terms: 30 + -6 = 24
24 + -1x = 6x + -4

Reorder the terms:
24 + -1x = -4 + 6x

Solving
24 + -1x = -4 + 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.
24 + -1x + -6x = -4 + 6x + -6x

Combine like terms: -1x + -6x = -7x
24 + -7x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -7x = -4 + 0
24 + -7x = -4

Add '-24' to each side of the equation.
24 + -24 + -7x = -4 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = -4 + -24
-7x = -4 + -24

Combine like terms: -4 + -24 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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