.25(x+2)=3x-6(2-x)-5

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Solution for .25(x+2)=3x-6(2-x)-5 equation:


Simplifying
0.25(x + 2) = 3x + -6(2 + -1x) + -5

Reorder the terms:
0.25(2 + x) = 3x + -6(2 + -1x) + -5
(2 * 0.25 + x * 0.25) = 3x + -6(2 + -1x) + -5
(0.5 + 0.25x) = 3x + -6(2 + -1x) + -5
0.5 + 0.25x = 3x + (2 * -6 + -1x * -6) + -5
0.5 + 0.25x = 3x + (-12 + 6x) + -5

Reorder the terms:
0.5 + 0.25x = -12 + -5 + 3x + 6x

Combine like terms: -12 + -5 = -17
0.5 + 0.25x = -17 + 3x + 6x

Combine like terms: 3x + 6x = 9x
0.5 + 0.25x = -17 + 9x

Solving
0.5 + 0.25x = -17 + 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 + 0.25x + -9x = -17 + 9x + -9x

Combine like terms: 0.25x + -9x = -8.75x
0.5 + -8.75x = -17 + 9x + -9x

Combine like terms: 9x + -9x = 0
0.5 + -8.75x = -17 + 0
0.5 + -8.75x = -17

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -8.75x = -17 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -8.75x = -17 + -0.5
-8.75x = -17 + -0.5

Combine like terms: -17 + -0.5 = -17.5
-8.75x = -17.5

Divide each side by '-8.75'.
x = 2

Simplifying
x = 2

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