3(x+12)=8x-3

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


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

Reorder the terms:
3(12 + x) = 8x + -3
(12 * 3 + x * 3) = 8x + -3
(36 + 3x) = 8x + -3

Reorder the terms:
36 + 3x = -3 + 8x

Solving
36 + 3x = -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.
36 + 3x + -8x = -3 + 8x + -8x

Combine like terms: 3x + -8x = -5x
36 + -5x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
36 + -5x = -3 + 0
36 + -5x = -3

Add '-36' to each side of the equation.
36 + -36 + -5x = -3 + -36

Combine like terms: 36 + -36 = 0
0 + -5x = -3 + -36
-5x = -3 + -36

Combine like terms: -3 + -36 = -39
-5x = -39

Divide each side by '-5'.
x = 7.8

Simplifying
x = 7.8

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