1.3-0.2(6-3x)=0.1(0.2x+3)

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Solution for 1.3-0.2(6-3x)=0.1(0.2x+3) equation: 


Simplifying
1.3 + -0.2(6 + -3x) = 0.1(0.2x + 3)
1.3 + (6 * -0.2 + -3x * -0.2) = 0.1(0.2x + 3)
1.3 + (-1.2 + 0.6x) = 0.1(0.2x + 3)

Combine like terms: 1.3 + -1.2 = 0.1
0.1 + 0.6x = 0.1(0.2x + 3)

Reorder the terms:
0.1 + 0.6x = 0.1(3 + 0.2x)
0.1 + 0.6x = (3 * 0.1 + 0.2x * 0.1)
0.1 + 0.6x = (0.3 + 0.02x)

Solving
0.1 + 0.6x = 0.3 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
0.1 + 0.6x + -0.02x = 0.3 + 0.02x + -0.02x

Combine like terms: 0.6x + -0.02x = 0.58x
0.1 + 0.58x = 0.3 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
0.1 + 0.58x = 0.3 + 0.00
0.1 + 0.58x = 0.3

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.58x = 0.3 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.58x = 0.3 + -0.1
0.58x = 0.3 + -0.1

Combine like terms: 0.3 + -0.1 = 0.2
0.58x = 0.2

Divide each side by '0.58'.
x = 0.3448275862

Simplifying
x = 0.3448275862

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