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

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


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

Solving
-1.5 + -30x = -11.5 + -38x

Solving for variable 'x'.

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

Add '38x' to each side of the equation.
-1.5 + -30x + 38x = -11.5 + -38x + 38x

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

Combine like terms: -38x + 38x = 0
-1.5 + 8x = -11.5 + 0
-1.5 + 8x = -11.5

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

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