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

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


Simplifying
0.3(2x + 3) + -0.5(x + -2) = 0

Reorder the terms:
0.3(3 + 2x) + -0.5(x + -2) = 0
(3 * 0.3 + 2x * 0.3) + -0.5(x + -2) = 0
(0.9 + 0.6x) + -0.5(x + -2) = 0

Reorder the terms:
0.9 + 0.6x + -0.5(-2 + x) = 0
0.9 + 0.6x + (-2 * -0.5 + x * -0.5) = 0
0.9 + 0.6x + (1 + -0.5x) = 0

Reorder the terms:
0.9 + 1 + 0.6x + -0.5x = 0

Combine like terms: 0.9 + 1 = 1.9
1.9 + 0.6x + -0.5x = 0

Combine like terms: 0.6x + -0.5x = 0.1x
1.9 + 0.1x = 0

Solving
1.9 + 0.1x = 0

Solving for variable 'x'.

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

Add '-1.9' to each side of the equation.
1.9 + -1.9 + 0.1x = 0 + -1.9

Combine like terms: 1.9 + -1.9 = 0.0
0.0 + 0.1x = 0 + -1.9
0.1x = 0 + -1.9

Combine like terms: 0 + -1.9 = -1.9
0.1x = -1.9

Divide each side by '0.1'.
x = -19

Simplifying
x = -19

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