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

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


Simplifying
6(x + 8) + -6 = 30 + 8x

Reorder the terms:
6(8 + x) + -6 = 30 + 8x
(8 * 6 + x * 6) + -6 = 30 + 8x
(48 + 6x) + -6 = 30 + 8x

Reorder the terms:
48 + -6 + 6x = 30 + 8x

Combine like terms: 48 + -6 = 42
42 + 6x = 30 + 8x

Solving
42 + 6x = 30 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
42 + 6x + -8x = 30 + 8x + -8x

Combine like terms: 6x + -8x = -2x
42 + -2x = 30 + 8x + -8x

Combine like terms: 8x + -8x = 0
42 + -2x = 30 + 0
42 + -2x = 30

Add '-42' to each side of the equation.
42 + -42 + -2x = 30 + -42

Combine like terms: 42 + -42 = 0
0 + -2x = 30 + -42
-2x = 30 + -42

Combine like terms: 30 + -42 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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