(8x-16)-(2x+6)=30

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Solution for (8x-16)-(2x+6)=30 equation:


Simplifying
(8x + -16) + -1(2x + 6) = 30

Reorder the terms:
(-16 + 8x) + -1(2x + 6) = 30

Remove parenthesis around (-16 + 8x)
-16 + 8x + -1(2x + 6) = 30

Reorder the terms:
-16 + 8x + -1(6 + 2x) = 30
-16 + 8x + (6 * -1 + 2x * -1) = 30
-16 + 8x + (-6 + -2x) = 30

Reorder the terms:
-16 + -6 + 8x + -2x = 30

Combine like terms: -16 + -6 = -22
-22 + 8x + -2x = 30

Combine like terms: 8x + -2x = 6x
-22 + 6x = 30

Solving
-22 + 6x = 30

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 6x = 30 + 22

Combine like terms: -22 + 22 = 0
0 + 6x = 30 + 22
6x = 30 + 22

Combine like terms: 30 + 22 = 52
6x = 52

Divide each side by '6'.
x = 8.666666667

Simplifying
x = 8.666666667

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