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

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


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

Reorder the terms:
3(3.25 + 2.5x) = 2(4.25x + 5)
(3.25 * 3 + 2.5x * 3) = 2(4.25x + 5)
(9.75 + 7.5x) = 2(4.25x + 5)

Reorder the terms:
9.75 + 7.5x = 2(5 + 4.25x)
9.75 + 7.5x = (5 * 2 + 4.25x * 2)
9.75 + 7.5x = (10 + 8.5x)

Solving
9.75 + 7.5x = 10 + 8.5x

Solving for variable 'x'.

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

Add '-8.5x' to each side of the equation.
9.75 + 7.5x + -8.5x = 10 + 8.5x + -8.5x

Combine like terms: 7.5x + -8.5x = -1x
9.75 + -1x = 10 + 8.5x + -8.5x

Combine like terms: 8.5x + -8.5x = 0.0
9.75 + -1x = 10 + 0.0
9.75 + -1x = 10

Add '-9.75' to each side of the equation.
9.75 + -9.75 + -1x = 10 + -9.75

Combine like terms: 9.75 + -9.75 = 0.00
0.00 + -1x = 10 + -9.75
-1x = 10 + -9.75

Combine like terms: 10 + -9.75 = 0.25
-1x = 0.25

Divide each side by '-1'.
x = -0.25

Simplifying
x = -0.25

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