6(3x+2)=6(8x+2)+4

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Solution for 6(3x+2)=6(8x+2)+4 equation: 


Simplifying
6(3x + 2) = 6(8x + 2) + 4

Reorder the terms:
6(2 + 3x) = 6(8x + 2) + 4
(2 * 6 + 3x * 6) = 6(8x + 2) + 4
(12 + 18x) = 6(8x + 2) + 4

Reorder the terms:
12 + 18x = 6(2 + 8x) + 4
12 + 18x = (2 * 6 + 8x * 6) + 4
12 + 18x = (12 + 48x) + 4

Reorder the terms:
12 + 18x = 12 + 4 + 48x

Combine like terms: 12 + 4 = 16
12 + 18x = 16 + 48x

Solving
12 + 18x = 16 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
12 + 18x + -48x = 16 + 48x + -48x

Combine like terms: 18x + -48x = -30x
12 + -30x = 16 + 48x + -48x

Combine like terms: 48x + -48x = 0
12 + -30x = 16 + 0
12 + -30x = 16

Add '-12' to each side of the equation.
12 + -12 + -30x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + -30x = 16 + -12
-30x = 16 + -12

Combine like terms: 16 + -12 = 4
-30x = 4

Divide each side by '-30'.
x = -0.1333333333

Simplifying
x = -0.1333333333

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