(0.3*(2x-3))-(0.5(x-2))=0.3

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Solution for (0.3*(2x-3))-(0.5(x-2))=0.3 equation:


Simplifying
(0.3(2x + -3)) + -1(0.5(x + -2)) = 0.3

Reorder the terms:
(0.3(-3 + 2x)) + -1(0.5(x + -2)) = 0.3
((-3 * 0.3 + 2x * 0.3)) + -1(0.5(x + -2)) = 0.3
((-0.9 + 0.6x)) + -1(0.5(x + -2)) = 0.3
(-0.9 + 0.6x) + -1(0.5(x + -2)) = 0.3

Remove parenthesis around (-0.9 + 0.6x)
-0.9 + 0.6x + -1(0.5(x + -2)) = 0.3

Reorder the terms:
-0.9 + 0.6x + -1(0.5(-2 + x)) = 0.3
-0.9 + 0.6x + -1((-2 * 0.5 + x * 0.5)) = 0.3
-0.9 + 0.6x + -1((-1 + 0.5x)) = 0.3
-0.9 + 0.6x + (-1 * -1 + 0.5x * -1) = 0.3
-0.9 + 0.6x + (1 + -0.5x) = 0.3

Reorder the terms:
-0.9 + 1 + 0.6x + -0.5x = 0.3

Combine like terms: -0.9 + 1 = 0.1
0.1 + 0.6x + -0.5x = 0.3

Combine like terms: 0.6x + -0.5x = 0.1x
0.1 + 0.1x = 0.3

Solving
0.1 + 0.1x = 0.3

Solving for variable 'x'.

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

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

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

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

Divide each side by '0.1'.
x = 2

Simplifying
x = 2

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