0.25(x+2)=0.75(3x-4)

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Solution for 0.25(x+2)=0.75(3x-4) equation: 


Simplifying
0.25(x + 2) = 0.75(3x + -4)

Reorder the terms:
0.25(2 + x) = 0.75(3x + -4)
(2 * 0.25 + x * 0.25) = 0.75(3x + -4)
(0.5 + 0.25x) = 0.75(3x + -4)

Reorder the terms:
0.5 + 0.25x = 0.75(-4 + 3x)
0.5 + 0.25x = (-4 * 0.75 + 3x * 0.75)
0.5 + 0.25x = (-3 + 2.25x)

Solving
0.5 + 0.25x = -3 + 2.25x

Solving for variable 'x'.

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

Add '-2.25x' to each side of the equation.
0.5 + 0.25x + -2.25x = -3 + 2.25x + -2.25x

Combine like terms: 0.25x + -2.25x = -2x
0.5 + -2x = -3 + 2.25x + -2.25x

Combine like terms: 2.25x + -2.25x = 0.00
0.5 + -2x = -3 + 0.00
0.5 + -2x = -3

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -2x = -3 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -2x = -3 + -0.5
-2x = -3 + -0.5

Combine like terms: -3 + -0.5 = -3.5
-2x = -3.5

Divide each side by '-2'.
x = 1.75

Simplifying
x = 1.75

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