0.3(2x-5)=0.2x+0.5

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Solution for 0.3(2x-5)=0.2x+0.5 equation: 


Simplifying
0.3(2x + -5) = 0.2x + 0.5

Reorder the terms:
0.3(-5 + 2x) = 0.2x + 0.5
(-5 * 0.3 + 2x * 0.3) = 0.2x + 0.5
(-1.5 + 0.6x) = 0.2x + 0.5

Reorder the terms:
-1.5 + 0.6x = 0.5 + 0.2x

Solving
-1.5 + 0.6x = 0.5 + 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.
-1.5 + 0.6x + -0.2x = 0.5 + 0.2x + -0.2x

Combine like terms: 0.6x + -0.2x = 0.4x
-1.5 + 0.4x = 0.5 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-1.5 + 0.4x = 0.5 + 0.0
-1.5 + 0.4x = 0.5

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.4x = 0.5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.4x = 0.5 + 1.5
0.4x = 0.5 + 1.5

Combine like terms: 0.5 + 1.5 = 2
0.4x = 2

Divide each side by '0.4'.
x = 5

Simplifying
x = 5

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