0.5(x-3)+0.33(x+1)=8

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Solution for 0.5(x-3)+0.33(x+1)=8 equation: 


Simplifying
0.5(x + -3) + 0.33(x + 1) = 8

Reorder the terms:
0.5(-3 + x) + 0.33(x + 1) = 8
(-3 * 0.5 + x * 0.5) + 0.33(x + 1) = 8
(-1.5 + 0.5x) + 0.33(x + 1) = 8

Reorder the terms:
-1.5 + 0.5x + 0.33(1 + x) = 8
-1.5 + 0.5x + (1 * 0.33 + x * 0.33) = 8
-1.5 + 0.5x + (0.33 + 0.33x) = 8

Reorder the terms:
-1.5 + 0.33 + 0.5x + 0.33x = 8

Combine like terms: -1.5 + 0.33 = -1.17
-1.17 + 0.5x + 0.33x = 8

Combine like terms: 0.5x + 0.33x = 0.83x
-1.17 + 0.83x = 8

Solving
-1.17 + 0.83x = 8

Solving for variable 'x'.

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

Add '1.17' to each side of the equation.
-1.17 + 1.17 + 0.83x = 8 + 1.17

Combine like terms: -1.17 + 1.17 = 0.00
0.00 + 0.83x = 8 + 1.17
0.83x = 8 + 1.17

Combine like terms: 8 + 1.17 = 9.17
0.83x = 9.17

Divide each side by '0.83'.
x = 11.04819277

Simplifying
x = 11.04819277

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