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

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


Simplifying
0.5(3 + -2x) = 0.3(3 + -1x)
(3 * 0.5 + -2x * 0.5) = 0.3(3 + -1x)
(1.5 + -1x) = 0.3(3 + -1x)
1.5 + -1x = (3 * 0.3 + -1x * 0.3)
1.5 + -1x = (0.9 + -0.3x)

Solving
1.5 + -1x = 0.9 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
1.5 + -1x + 0.3x = 0.9 + -0.3x + 0.3x

Combine like terms: -1x + 0.3x = -0.7x
1.5 + -0.7x = 0.9 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
1.5 + -0.7x = 0.9 + 0.0
1.5 + -0.7x = 0.9

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.7x = 0.9 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.7x = 0.9 + -1.5
-0.7x = 0.9 + -1.5

Combine like terms: 0.9 + -1.5 = -0.6
-0.7x = -0.6

Divide each side by '-0.7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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