2(x+12)=8x-3

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Solution for 2(x+12)=8x-3 equation:


Simplifying
2(x + 12) = 8x + -3

Reorder the terms:
2(12 + x) = 8x + -3
(12 * 2 + x * 2) = 8x + -3
(24 + 2x) = 8x + -3

Reorder the terms:
24 + 2x = -3 + 8x

Solving
24 + 2x = -3 + 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.
24 + 2x + -8x = -3 + 8x + -8x

Combine like terms: 2x + -8x = -6x
24 + -6x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
24 + -6x = -3 + 0
24 + -6x = -3

Add '-24' to each side of the equation.
24 + -24 + -6x = -3 + -24

Combine like terms: 24 + -24 = 0
0 + -6x = -3 + -24
-6x = -3 + -24

Combine like terms: -3 + -24 = -27
-6x = -27

Divide each side by '-6'.
x = 4.5

Simplifying
x = 4.5

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