2(3x+2)+0.5(5-x)=6.5

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Solution for 2(3x+2)+0.5(5-x)=6.5 equation: 


Simplifying
2(3x + 2) + 0.5(5 + -1x) = 6.5

Reorder the terms:
2(2 + 3x) + 0.5(5 + -1x) = 6.5
(2 * 2 + 3x * 2) + 0.5(5 + -1x) = 6.5
(4 + 6x) + 0.5(5 + -1x) = 6.5
4 + 6x + (5 * 0.5 + -1x * 0.5) = 6.5
4 + 6x + (2.5 + -0.5x) = 6.5

Reorder the terms:
4 + 2.5 + 6x + -0.5x = 6.5

Combine like terms: 4 + 2.5 = 6.5
6.5 + 6x + -0.5x = 6.5

Combine like terms: 6x + -0.5x = 5.5x
6.5 + 5.5x = 6.5

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 5.5x = 6.5 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 5.5x = 6.5 + -6.5
5.5x = 6.5 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
5.5x = 0.0

Solving
5.5x = 0.0

Solving for variable 'x'.

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

Divide each side by '5.5'.
x = 0

Simplifying
x = 0

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