0.5*60x=0.5((3x+2)+(5x+8))*6

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Solution for 0.5*60x=0.5((3x+2)+(5x+8))*6 equation: 


Simplifying
0.5 * 60x = 0.5((3x + 2) + (5x + 8)) * 6

Multiply 0.5 * 60
30x = 0.5((3x + 2) + (5x + 8)) * 6

Reorder the terms:
30x = 0.5((2 + 3x) + (5x + 8)) * 6

Remove parenthesis around (2 + 3x)
30x = 0.5(2 + 3x + (5x + 8)) * 6

Reorder the terms:
30x = 0.5(2 + 3x + (8 + 5x)) * 6

Remove parenthesis around (8 + 5x)
30x = 0.5(2 + 3x + 8 + 5x) * 6

Reorder the terms:
30x = 0.5(2 + 8 + 3x + 5x) * 6

Combine like terms: 2 + 8 = 10
30x = 0.5(10 + 3x + 5x) * 6

Combine like terms: 3x + 5x = 8x
30x = 0.5(10 + 8x) * 6

Reorder the terms for easier multiplication:
30x = 0.5 * 6(10 + 8x)

Multiply 0.5 * 6
30x = 3(10 + 8x)
30x = (10 * 3 + 8x * 3)
30x = (30 + 24x)

Solving
30x = 30 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
30x + -24x = 30 + 24x + -24x

Combine like terms: 30x + -24x = 6x
6x = 30 + 24x + -24x

Combine like terms: 24x + -24x = 0
6x = 30 + 0
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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