(1.25)*(x+3)=(0.8)*(1-2x)

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Solution for (1.25)*(x+3)=(0.8)*(1-2x) equation: 


Simplifying
(1.25)(x + 3) = (0.8)(1 + -2x)

Reorder the terms:
1.25(3 + x) = (0.8)(1 + -2x)
(3 * 1.25 + x * 1.25) = (0.8)(1 + -2x)
(3.75 + 1.25x) = (0.8)(1 + -2x)
3.75 + 1.25x = (1 * 0.8 + -2x * 0.8)
3.75 + 1.25x = (0.8 + -1.6x)

Solving
3.75 + 1.25x = 0.8 + -1.6x

Solving for variable 'x'.

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

Add '1.6x' to each side of the equation.
3.75 + 1.25x + 1.6x = 0.8 + -1.6x + 1.6x

Combine like terms: 1.25x + 1.6x = 2.85x
3.75 + 2.85x = 0.8 + -1.6x + 1.6x

Combine like terms: -1.6x + 1.6x = 0.0
3.75 + 2.85x = 0.8 + 0.0
3.75 + 2.85x = 0.8

Add '-3.75' to each side of the equation.
3.75 + -3.75 + 2.85x = 0.8 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 2.85x = 0.8 + -3.75
2.85x = 0.8 + -3.75

Combine like terms: 0.8 + -3.75 = -2.95
2.85x = -2.95

Divide each side by '2.85'.
x = -1.035087719

Simplifying
x = -1.035087719

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