.05x-2.5=.3(x-5)

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Solution for .05x-2.5=.3(x-5) equation: 


Simplifying
0.05x + -2.5 = 0.3(x + -5)

Reorder the terms:
-2.5 + 0.05x = 0.3(x + -5)

Reorder the terms:
-2.5 + 0.05x = 0.3(-5 + x)
-2.5 + 0.05x = (-5 * 0.3 + x * 0.3)
-2.5 + 0.05x = (-1.5 + 0.3x)

Solving
-2.5 + 0.05x = -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.
-2.5 + 0.05x + -0.3x = -1.5 + 0.3x + -0.3x

Combine like terms: 0.05x + -0.3x = -0.25x
-2.5 + -0.25x = -1.5 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-2.5 + -0.25x = -1.5 + 0.0
-2.5 + -0.25x = -1.5

Add '2.5' to each side of the equation.
-2.5 + 2.5 + -0.25x = -1.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -0.25x = -1.5 + 2.5
-0.25x = -1.5 + 2.5

Combine like terms: -1.5 + 2.5 = 1
-0.25x = 1

Divide each side by '-0.25'.
x = -4

Simplifying
x = -4

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