0.25(14x+2)=3(2-3x)

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Solution for 0.25(14x+2)=3(2-3x) equation: 


Simplifying
0.25(14x + 2) = 3(2 + -3x)

Reorder the terms:
0.25(2 + 14x) = 3(2 + -3x)
(2 * 0.25 + 14x * 0.25) = 3(2 + -3x)
(0.5 + 3.5x) = 3(2 + -3x)
0.5 + 3.5x = (2 * 3 + -3x * 3)
0.5 + 3.5x = (6 + -9x)

Solving
0.5 + 3.5x = 6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
0.5 + 3.5x + 9x = 6 + -9x + 9x

Combine like terms: 3.5x + 9x = 12.5x
0.5 + 12.5x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
0.5 + 12.5x = 6 + 0
0.5 + 12.5x = 6

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 12.5x = 6 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 12.5x = 6 + -0.5
12.5x = 6 + -0.5

Combine like terms: 6 + -0.5 = 5.5
12.5x = 5.5

Divide each side by '12.5'.
x = 0.44

Simplifying
x = 0.44

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