0.5x-2=0.3(x-5)

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


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

Reorder the terms:
-2 + 0.5x = 0.3(x + -5)

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

Solving
-2 + 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.
-2 + 0.5x + -0.3x = -1.5 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
-2 + 0.2x = -1.5 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-2 + 0.2x = -1.5 + 0.0
-2 + 0.2x = -1.5

Add '2' to each side of the equation.
-2 + 2 + 0.2x = -1.5 + 2

Combine like terms: -2 + 2 = 0
0 + 0.2x = -1.5 + 2
0.2x = -1.5 + 2

Combine like terms: -1.5 + 2 = 0.5
0.2x = 0.5

Divide each side by '0.2'.
x = 2.5

Simplifying
x = 2.5

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