.5(5-x)+6x=2.5(x+3)-5+3x

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Solution for .5(5-x)+6x=2.5(x+3)-5+3x equation:


Simplifying
0.5(5 + -1x) + 6x = 2.5(x + 3) + -5 + 3x
(5 * 0.5 + -1x * 0.5) + 6x = 2.5(x + 3) + -5 + 3x
(2.5 + -0.5x) + 6x = 2.5(x + 3) + -5 + 3x

Combine like terms: -0.5x + 6x = 5.5x
2.5 + 5.5x = 2.5(x + 3) + -5 + 3x

Reorder the terms:
2.5 + 5.5x = 2.5(3 + x) + -5 + 3x
2.5 + 5.5x = (3 * 2.5 + x * 2.5) + -5 + 3x
2.5 + 5.5x = (7.5 + 2.5x) + -5 + 3x

Reorder the terms:
2.5 + 5.5x = 7.5 + -5 + 2.5x + 3x

Combine like terms: 7.5 + -5 = 2.5
2.5 + 5.5x = 2.5 + 2.5x + 3x

Combine like terms: 2.5x + 3x = 5.5x
2.5 + 5.5x = 2.5 + 5.5x

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 5.5x = 2.5 + -2.5 + 5.5x

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 5.5x = 2.5 + -2.5 + 5.5x
5.5x = 2.5 + -2.5 + 5.5x

Combine like terms: 2.5 + -2.5 = 0.0
5.5x = 0.0 + 5.5x
5.5x = 5.5x

Add '-5.5x' to each side of the equation.
5.5x + -5.5x = 5.5x + -5.5x

Combine like terms: 5.5x + -5.5x = 0.0
0.0 = 5.5x + -5.5x

Combine like terms: 5.5x + -5.5x = 0.0
0.0 = 0.0

Solving
0.0 = 0.0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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