2(2.5x+3.25)=3(4.25x+5)

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Solution for 2(2.5x+3.25)=3(4.25x+5) equation: 


Simplifying
2(2.5x + 3.25) = 3(4.25x + 5)

Reorder the terms:
2(3.25 + 2.5x) = 3(4.25x + 5)
(3.25 * 2 + 2.5x * 2) = 3(4.25x + 5)
(6.5 + 5x) = 3(4.25x + 5)

Reorder the terms:
6.5 + 5x = 3(5 + 4.25x)
6.5 + 5x = (5 * 3 + 4.25x * 3)
6.5 + 5x = (15 + 12.75x)

Solving
6.5 + 5x = 15 + 12.75x

Solving for variable 'x'.

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

Add '-12.75x' to each side of the equation.
6.5 + 5x + -12.75x = 15 + 12.75x + -12.75x

Combine like terms: 5x + -12.75x = -7.75x
6.5 + -7.75x = 15 + 12.75x + -12.75x

Combine like terms: 12.75x + -12.75x = 0.00
6.5 + -7.75x = 15 + 0.00
6.5 + -7.75x = 15

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -7.75x = 15 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -7.75x = 15 + -6.5
-7.75x = 15 + -6.5

Combine like terms: 15 + -6.5 = 8.5
-7.75x = 8.5

Divide each side by '-7.75'.
x = -1.096774194

Simplifying
x = -1.096774194

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