38x-3(0.5+10x)=11.5

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Solution for 38x-3(0.5+10x)=11.5 equation: 


Simplifying
38x + -3(0.5 + 10x) = 11.5
38x + (0.5 * -3 + 10x * -3) = 11.5
38x + (-1.5 + -30x) = 11.5

Reorder the terms:
-1.5 + 38x + -30x = 11.5

Combine like terms: 38x + -30x = 8x
-1.5 + 8x = 11.5

Solving
-1.5 + 8x = 11.5

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 8x = 11.5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 8x = 11.5 + 1.5
8x = 11.5 + 1.5

Combine like terms: 11.5 + 1.5 = 13
8x = 13

Divide each side by '8'.
x = 1.625

Simplifying
x = 1.625

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