5(x-.5)=-5x+2.5

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


Simplifying
5(x + -0.5) = -5x + 2.5

Reorder the terms:
5(-0.5 + x) = -5x + 2.5
(-0.5 * 5 + x * 5) = -5x + 2.5
(-2.5 + 5x) = -5x + 2.5

Reorder the terms:
-2.5 + 5x = 2.5 + -5x

Solving
-2.5 + 5x = 2.5 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2.5 + 5x + 5x = 2.5 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-2.5 + 10x = 2.5 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2.5 + 10x = 2.5 + 0
-2.5 + 10x = 2.5

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 10x = 2.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 10x = 2.5 + 2.5
10x = 2.5 + 2.5

Combine like terms: 2.5 + 2.5 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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