8(2x+4)=6(9x+2)+2

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Solution for 8(2x+4)=6(9x+2)+2 equation:


Simplifying
8(2x + 4) = 6(9x + 2) + 2

Reorder the terms:
8(4 + 2x) = 6(9x + 2) + 2
(4 * 8 + 2x * 8) = 6(9x + 2) + 2
(32 + 16x) = 6(9x + 2) + 2

Reorder the terms:
32 + 16x = 6(2 + 9x) + 2
32 + 16x = (2 * 6 + 9x * 6) + 2
32 + 16x = (12 + 54x) + 2

Reorder the terms:
32 + 16x = 12 + 2 + 54x

Combine like terms: 12 + 2 = 14
32 + 16x = 14 + 54x

Solving
32 + 16x = 14 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
32 + 16x + -54x = 14 + 54x + -54x

Combine like terms: 16x + -54x = -38x
32 + -38x = 14 + 54x + -54x

Combine like terms: 54x + -54x = 0
32 + -38x = 14 + 0
32 + -38x = 14

Add '-32' to each side of the equation.
32 + -32 + -38x = 14 + -32

Combine like terms: 32 + -32 = 0
0 + -38x = 14 + -32
-38x = 14 + -32

Combine like terms: 14 + -32 = -18
-38x = -18

Divide each side by '-38'.
x = 0.4736842105

Simplifying
x = 0.4736842105

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