0.5(2-3x)=0.3(5-4x)

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Solution for 0.5(2-3x)=0.3(5-4x) equation: 


Simplifying
0.5(2 + -3x) = 0.3(5 + -4x)
(2 * 0.5 + -3x * 0.5) = 0.3(5 + -4x)
(1 + -1.5x) = 0.3(5 + -4x)
1 + -1.5x = (5 * 0.3 + -4x * 0.3)
1 + -1.5x = (1.5 + -1.2x)

Solving
1 + -1.5x = 1.5 + -1.2x

Solving for variable 'x'.

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

Add '1.2x' to each side of the equation.
1 + -1.5x + 1.2x = 1.5 + -1.2x + 1.2x

Combine like terms: -1.5x + 1.2x = -0.3x
1 + -0.3x = 1.5 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0
1 + -0.3x = 1.5 + 0.0
1 + -0.3x = 1.5

Add '-1' to each side of the equation.
1 + -1 + -0.3x = 1.5 + -1

Combine like terms: 1 + -1 = 0
0 + -0.3x = 1.5 + -1
-0.3x = 1.5 + -1

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

Divide each side by '-0.3'.
x = -1.666666667

Simplifying
x = -1.666666667

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