2.5x+15=5.75x+34.5

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Solution for 2.5x+15=5.75x+34.5 equation: 


Simplifying
2.5x + 15 = 5.75x + 34.5

Reorder the terms:
15 + 2.5x = 5.75x + 34.5

Reorder the terms:
15 + 2.5x = 34.5 + 5.75x

Solving
15 + 2.5x = 34.5 + 5.75x

Solving for variable 'x'.

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

Add '-5.75x' to each side of the equation.
15 + 2.5x + -5.75x = 34.5 + 5.75x + -5.75x

Combine like terms: 2.5x + -5.75x = -3.25x
15 + -3.25x = 34.5 + 5.75x + -5.75x

Combine like terms: 5.75x + -5.75x = 0.00
15 + -3.25x = 34.5 + 0.00
15 + -3.25x = 34.5

Add '-15' to each side of the equation.
15 + -15 + -3.25x = 34.5 + -15

Combine like terms: 15 + -15 = 0
0 + -3.25x = 34.5 + -15
-3.25x = 34.5 + -15

Combine like terms: 34.5 + -15 = 19.5
-3.25x = 19.5

Divide each side by '-3.25'.
x = -6

Simplifying
x = -6

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