0.5x-0.1(15-3x)=-0.3(x-6)

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Solution for 0.5x-0.1(15-3x)=-0.3(x-6) equation: 


Simplifying
0.5x + -0.1(15 + -3x) = -0.3(x + -6)
0.5x + (15 * -0.1 + -3x * -0.1) = -0.3(x + -6)
0.5x + (-1.5 + 0.3x) = -0.3(x + -6)

Reorder the terms:
-1.5 + 0.5x + 0.3x = -0.3(x + -6)

Combine like terms: 0.5x + 0.3x = 0.8x
-1.5 + 0.8x = -0.3(x + -6)

Reorder the terms:
-1.5 + 0.8x = -0.3(-6 + x)
-1.5 + 0.8x = (-6 * -0.3 + x * -0.3)
-1.5 + 0.8x = (1.8 + -0.3x)

Solving
-1.5 + 0.8x = 1.8 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-1.5 + 0.8x + 0.3x = 1.8 + -0.3x + 0.3x

Combine like terms: 0.8x + 0.3x = 1.1x
-1.5 + 1.1x = 1.8 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-1.5 + 1.1x = 1.8 + 0.0
-1.5 + 1.1x = 1.8

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 1.1x = 1.8 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 1.1x = 1.8 + 1.5
1.1x = 1.8 + 1.5

Combine like terms: 1.8 + 1.5 = 3.3
1.1x = 3.3

Divide each side by '1.1'.
x = 3

Simplifying
x = 3

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