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

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


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

Reorder the terms:
2(5 + 4.25x) = 3(2.5x + 3.25)
(5 * 2 + 4.25x * 2) = 3(2.5x + 3.25)
(10 + 8.5x) = 3(2.5x + 3.25)

Reorder the terms:
10 + 8.5x = 3(3.25 + 2.5x)
10 + 8.5x = (3.25 * 3 + 2.5x * 3)
10 + 8.5x = (9.75 + 7.5x)

Solving
10 + 8.5x = 9.75 + 7.5x

Solving for variable 'x'.

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

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

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

Combine like terms: 7.5x + -7.5x = 0.0
10 + 1x = 9.75 + 0.0
10 + 1x = 9.75

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

Combine like terms: 10 + -10 = 0
0 + 1x = 9.75 + -10
1x = 9.75 + -10

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

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

Simplifying
x = -0.25

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