0.5(x+3)=0.3(x-5)

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


Simplifying
0.5(x + 3) = 0.3(x + -5)

Reorder the terms:
0.5(3 + x) = 0.3(x + -5)
(3 * 0.5 + x * 0.5) = 0.3(x + -5)
(1.5 + 0.5x) = 0.3(x + -5)

Reorder the terms:
1.5 + 0.5x = 0.3(-5 + x)
1.5 + 0.5x = (-5 * 0.3 + x * 0.3)
1.5 + 0.5x = (-1.5 + 0.3x)

Solving
1.5 + 0.5x = -1.5 + 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 + 0.5x + -0.3x = -1.5 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
1.5 + 0.2x = -1.5 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
1.5 + 0.2x = -1.5 + 0.0
1.5 + 0.2x = -1.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.2x = -1.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.2x = -1.5 + -1.5
0.2x = -1.5 + -1.5

Combine like terms: -1.5 + -1.5 = -3
0.2x = -3

Divide each side by '0.2'.
x = -15

Simplifying
x = -15

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