6(.5x+3)+4(12-x)=.83

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Solution for 6(.5x+3)+4(12-x)=.83 equation: 


Simplifying
6(0.5x + 3) + 4(12 + -1x) = 0.83

Reorder the terms:
6(3 + 0.5x) + 4(12 + -1x) = 0.83
(3 * 6 + 0.5x * 6) + 4(12 + -1x) = 0.83
(18 + 3x) + 4(12 + -1x) = 0.83
18 + 3x + (12 * 4 + -1x * 4) = 0.83
18 + 3x + (48 + -4x) = 0.83

Reorder the terms:
18 + 48 + 3x + -4x = 0.83

Combine like terms: 18 + 48 = 66
66 + 3x + -4x = 0.83

Combine like terms: 3x + -4x = -1x
66 + -1x = 0.83

Solving
66 + -1x = 0.83

Solving for variable 'x'.

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

Add '-66' to each side of the equation.
66 + -66 + -1x = 0.83 + -66

Combine like terms: 66 + -66 = 0
0 + -1x = 0.83 + -66
-1x = 0.83 + -66

Combine like terms: 0.83 + -66 = -65.17
-1x = -65.17

Divide each side by '-1'.
x = 65.17

Simplifying
x = 65.17

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