0.4(x-0.5)=0.2(x+3)

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Solution for 0.4(x-0.5)=0.2(x+3) equation: 


Simplifying
0.4(x + -0.5) = 0.2(x + 3)

Reorder the terms:
0.4(-0.5 + x) = 0.2(x + 3)
(-0.5 * 0.4 + x * 0.4) = 0.2(x + 3)
(-0.2 + 0.4x) = 0.2(x + 3)

Reorder the terms:
-0.2 + 0.4x = 0.2(3 + x)
-0.2 + 0.4x = (3 * 0.2 + x * 0.2)
-0.2 + 0.4x = (0.6 + 0.2x)

Solving
-0.2 + 0.4x = 0.6 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-0.2 + 0.4x + -0.2x = 0.6 + 0.2x + -0.2x

Combine like terms: 0.4x + -0.2x = 0.2x
-0.2 + 0.2x = 0.6 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-0.2 + 0.2x = 0.6 + 0.0
-0.2 + 0.2x = 0.6

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.2x = 0.6 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.2x = 0.6 + 0.2
0.2x = 0.6 + 0.2

Combine like terms: 0.6 + 0.2 = 0.8
0.2x = 0.8

Divide each side by '0.2'.
x = 4

Simplifying
x = 4

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