1.25(4X+1)=0.8(5X-1)

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Solution for 1.25(4X+1)=0.8(5X-1) equation: 


Simplifying
1.25(4X + 1) = 0.8(5X + -1)

Reorder the terms:
1.25(1 + 4X) = 0.8(5X + -1)
(1 * 1.25 + 4X * 1.25) = 0.8(5X + -1)
(1.25 + 5X) = 0.8(5X + -1)

Reorder the terms:
1.25 + 5X = 0.8(-1 + 5X)
1.25 + 5X = (-1 * 0.8 + 5X * 0.8)
1.25 + 5X = (-0.8 + 4X)

Solving
1.25 + 5X = -0.8 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
1.25 + 5X + -4X = -0.8 + 4X + -4X

Combine like terms: 5X + -4X = 1X
1.25 + 1X = -0.8 + 4X + -4X

Combine like terms: 4X + -4X = 0
1.25 + 1X = -0.8 + 0
1.25 + 1X = -0.8

Add '-1.25' to each side of the equation.
1.25 + -1.25 + 1X = -0.8 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 1X = -0.8 + -1.25
1X = -0.8 + -1.25

Combine like terms: -0.8 + -1.25 = -2.05
1X = -2.05

Divide each side by '1'.
X = -2.05

Simplifying
X = -2.05

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