.3x-0.2(3-5x)=-.05(x-6)

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Solution for .3x-0.2(3-5x)=-.05(x-6) equation:


Simplifying
0.3x + -0.2(3 + -5x) = -0.05(x + -6)
0.3x + (3 * -0.2 + -5x * -0.2) = -0.05(x + -6)
0.3x + (-0.6 + 1x) = -0.05(x + -6)

Reorder the terms:
-0.6 + 0.3x + 1x = -0.05(x + -6)

Combine like terms: 0.3x + 1x = 1.3x
-0.6 + 1.3x = -0.05(x + -6)

Reorder the terms:
-0.6 + 1.3x = -0.05(-6 + x)
-0.6 + 1.3x = (-6 * -0.05 + x * -0.05)
-0.6 + 1.3x = (0.3 + -0.05x)

Solving
-0.6 + 1.3x = 0.3 + -0.05x

Solving for variable 'x'.

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

Add '0.05x' to each side of the equation.
-0.6 + 1.3x + 0.05x = 0.3 + -0.05x + 0.05x

Combine like terms: 1.3x + 0.05x = 1.35x
-0.6 + 1.35x = 0.3 + -0.05x + 0.05x

Combine like terms: -0.05x + 0.05x = 0.00
-0.6 + 1.35x = 0.3 + 0.00
-0.6 + 1.35x = 0.3

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 1.35x = 0.3 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 1.35x = 0.3 + 0.6
1.35x = 0.3 + 0.6

Combine like terms: 0.3 + 0.6 = 0.9
1.35x = 0.9

Divide each side by '1.35'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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