0.3-0.2(3-5x)=-0.5(x-6)

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Solution for 0.3-0.2(3-5x)=-0.5(x-6) equation:


Simplifying
0.3 + -0.2(3 + -5x) = -0.5(x + -6)
0.3 + (3 * -0.2 + -5x * -0.2) = -0.5(x + -6)
0.3 + (-0.6 + 1x) = -0.5(x + -6)

Combine like terms: 0.3 + -0.6 = -0.3
-0.3 + 1x = -0.5(x + -6)

Reorder the terms:
-0.3 + 1x = -0.5(-6 + x)
-0.3 + 1x = (-6 * -0.5 + x * -0.5)
-0.3 + 1x = (3 + -0.5x)

Solving
-0.3 + 1x = 3 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-0.3 + 1x + 0.5x = 3 + -0.5x + 0.5x

Combine like terms: 1x + 0.5x = 1.5x
-0.3 + 1.5x = 3 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-0.3 + 1.5x = 3 + 0.0
-0.3 + 1.5x = 3

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 1.5x = 3 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 1.5x = 3 + 0.3
1.5x = 3 + 0.3

Combine like terms: 3 + 0.3 = 3.3
1.5x = 3.3

Divide each side by '1.5'.
x = 2.2

Simplifying
x = 2.2

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