0.25(2x+3)=3(0.333333333333-x)

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Solution for 0.25(2x+3)=3(0.333333333333-x) equation: 


Simplifying
0.25(2x + 3) = 3(0.333333333333 + -1x)

Reorder the terms:
0.25(3 + 2x) = 3(0.333333333333 + -1x)
(3 * 0.25 + 2x * 0.25) = 3(0.333333333333 + -1x)
(0.75 + 0.5x) = 3(0.333333333333 + -1x)
0.75 + 0.5x = (0.333333333333 * 3 + -1x * 3)
0.75 + 0.5x = (1 + -3x)

Solving
0.75 + 0.5x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
0.75 + 0.5x + 3x = 1 + -3x + 3x

Combine like terms: 0.5x + 3x = 3.5x
0.75 + 3.5x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
0.75 + 3.5x = 1 + 0
0.75 + 3.5x = 1

Add '-0.75' to each side of the equation.
0.75 + -0.75 + 3.5x = 1 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 3.5x = 1 + -0.75
3.5x = 1 + -0.75

Combine like terms: 1 + -0.75 = 0.25
3.5x = 0.25

Divide each side by '3.5'.
x = 0.07142857143

Simplifying
x = 0.07142857143

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