2(x+3)=8x-28

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Solution for 2(x+3)=8x-28 equation:


Simplifying
2(x + 3) = 8x + -28

Reorder the terms:
2(3 + x) = 8x + -28
(3 * 2 + x * 2) = 8x + -28
(6 + 2x) = 8x + -28

Reorder the terms:
6 + 2x = -28 + 8x

Solving
6 + 2x = -28 + 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.
6 + 2x + -8x = -28 + 8x + -8x

Combine like terms: 2x + -8x = -6x
6 + -6x = -28 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -6x = -28 + 0
6 + -6x = -28

Add '-6' to each side of the equation.
6 + -6 + -6x = -28 + -6

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

Combine like terms: -28 + -6 = -34
-6x = -34

Divide each side by '-6'.
x = 5.666666667

Simplifying
x = 5.666666667

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