2x=(0.25x+0.25x)+(0.333x+2*0.333x)+(2+6)

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Solution for 2x=(0.25x+0.25x)+(0.333x+2*0.333x)+(2+6) equation:


Simplifying
2x = (0.25x + 0.25x) + (0.333x + 2 * 0.333x) + (2 + 6)

Combine like terms: 0.25x + 0.25x = 0.5x
2x = (0.5x) + (0.333x + 2 * 0.333x) + (2 + 6)
2x = (0.5x) + (0.333x + 2 * 0.333x) + (2 + 6)

Multiply 2 * 0.333
2x = (0.5x) + (0.333x + 0.666x) + (2 + 6)

Combine like terms: 0.333x + 0.666x = 0.999x
2x = (0.5x) + (0.999x) + (2 + 6)
2x = (0.5x) + (0.999x) + (2 + 6)

Combine like terms: 2 + 6 = 8
2x = (0.5x) + (0.999x) + (8)
2x = (0.5x) + (0.999x) + 8

Reorder the terms:
2x = 8 + (0.5x) + (0.999x)

Combine like terms: (0.5x) + (0.999x) = 1.499x
2x = 8 + 1.499x

Solving
2x = 8 + 1.499x

Solving for variable 'x'.

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

Add '-1.499x' to each side of the equation.
2x + -1.499x = 8 + 1.499x + -1.499x

Combine like terms: 2x + -1.499x = 0.501x
0.501x = 8 + 1.499x + -1.499x

Combine like terms: 1.499x + -1.499x = 0.000
0.501x = 8 + 0.000
0.501x = 8

Divide each side by '0.501'.
x = 15.96806387

Simplifying
x = 15.96806387

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