.25(3x+2)-.8(2x-3)=.667(x-1)

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Solution for .25(3x+2)-.8(2x-3)=.667(x-1) equation: 


Simplifying
0.25(3x + 2) + -0.8(2x + -3) = 0.667(x + -1)

Reorder the terms:
0.25(2 + 3x) + -0.8(2x + -3) = 0.667(x + -1)
(2 * 0.25 + 3x * 0.25) + -0.8(2x + -3) = 0.667(x + -1)
(0.5 + 0.75x) + -0.8(2x + -3) = 0.667(x + -1)

Reorder the terms:
0.5 + 0.75x + -0.8(-3 + 2x) = 0.667(x + -1)
0.5 + 0.75x + (-3 * -0.8 + 2x * -0.8) = 0.667(x + -1)
0.5 + 0.75x + (2.4 + -1.6x) = 0.667(x + -1)

Reorder the terms:
0.5 + 2.4 + 0.75x + -1.6x = 0.667(x + -1)

Combine like terms: 0.5 + 2.4 = 2.9
2.9 + 0.75x + -1.6x = 0.667(x + -1)

Combine like terms: 0.75x + -1.6x = -0.85x
2.9 + -0.85x = 0.667(x + -1)

Reorder the terms:
2.9 + -0.85x = 0.667(-1 + x)
2.9 + -0.85x = (-1 * 0.667 + x * 0.667)
2.9 + -0.85x = (-0.667 + 0.667x)

Solving
2.9 + -0.85x = -0.667 + 0.667x

Solving for variable 'x'.

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

Add '-0.667x' to each side of the equation.
2.9 + -0.85x + -0.667x = -0.667 + 0.667x + -0.667x

Combine like terms: -0.85x + -0.667x = -1.517x
2.9 + -1.517x = -0.667 + 0.667x + -0.667x

Combine like terms: 0.667x + -0.667x = 0.000
2.9 + -1.517x = -0.667 + 0.000
2.9 + -1.517x = -0.667

Add '-2.9' to each side of the equation.
2.9 + -2.9 + -1.517x = -0.667 + -2.9

Combine like terms: 2.9 + -2.9 = 0.0
0.0 + -1.517x = -0.667 + -2.9
-1.517x = -0.667 + -2.9

Combine like terms: -0.667 + -2.9 = -3.567
-1.517x = -3.567

Divide each side by '-1.517'.
x = 2.351351351

Simplifying
x = 2.351351351

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