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

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


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

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

Reorder the terms:
24 + 8x = 3(12 + 2x)
24 + 8x = (12 * 3 + 2x * 3)
24 + 8x = (36 + 6x)

Solving
24 + 8x = 36 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
24 + 8x + -6x = 36 + 6x + -6x

Combine like terms: 8x + -6x = 2x
24 + 2x = 36 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + 2x = 36 + 0
24 + 2x = 36

Add '-24' to each side of the equation.
24 + -24 + 2x = 36 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 36 + -24
2x = 36 + -24

Combine like terms: 36 + -24 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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