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

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 = -10
8x = -10

Divide each side by '8'.
x = -1.25

Simplifying
x = -1.25