.25(x+3)=2(x-3)

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


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

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

Reorder the terms:
0.75 + 0.25x = 2(-3 + x)
0.75 + 0.25x = (-3 * 2 + x * 2)
0.75 + 0.25x = (-6 + 2x)

Solving
0.75 + 0.25x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
0.75 + 0.25x + -2x = -6 + 2x + -2x

Combine like terms: 0.25x + -2x = -1.75x
0.75 + -1.75x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.75 + -1.75x = -6 + 0
0.75 + -1.75x = -6

Add '-0.75' to each side of the equation.
0.75 + -0.75 + -1.75x = -6 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.75x = -6 + -0.75
-1.75x = -6 + -0.75

Combine like terms: -6 + -0.75 = -6.75
-1.75x = -6.75

Divide each side by '-1.75'.
x = 3.857142857

Simplifying
x = 3.857142857

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