2.5(x-1)=0.5x+4.1

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Solution for 2.5(x-1)=0.5x+4.1 equation: 


Simplifying
2.5(x + -1) = 0.5x + 4.1

Reorder the terms:
2.5(-1 + x) = 0.5x + 4.1
(-1 * 2.5 + x * 2.5) = 0.5x + 4.1
(-2.5 + 2.5x) = 0.5x + 4.1

Reorder the terms:
-2.5 + 2.5x = 4.1 + 0.5x

Solving
-2.5 + 2.5x = 4.1 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-2.5 + 2.5x + -0.5x = 4.1 + 0.5x + -0.5x

Combine like terms: 2.5x + -0.5x = 2x
-2.5 + 2x = 4.1 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-2.5 + 2x = 4.1 + 0.0
-2.5 + 2x = 4.1

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 2x = 4.1 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 2x = 4.1 + 2.5
2x = 4.1 + 2.5

Combine like terms: 4.1 + 2.5 = 6.6
2x = 6.6

Divide each side by '2'.
x = 3.3

Simplifying
x = 3.3

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