0.25(x+8)=3x-2x-5

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Solution for 0.25(x+8)=3x-2x-5 equation: 


Simplifying
0.25(x + 8) = 3x + -2x + -5

Reorder the terms:
0.25(8 + x) = 3x + -2x + -5
(8 * 0.25 + x * 0.25) = 3x + -2x + -5
(2 + 0.25x) = 3x + -2x + -5

Reorder the terms:
2 + 0.25x = -5 + 3x + -2x

Combine like terms: 3x + -2x = 1x
2 + 0.25x = -5 + 1x

Solving
2 + 0.25x = -5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 0.25x + -1x = -5 + 1x + -1x

Combine like terms: 0.25x + -1x = -0.75x
2 + -0.75x = -5 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + -0.75x = -5 + 0
2 + -0.75x = -5

Add '-2' to each side of the equation.
2 + -2 + -0.75x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -0.75x = -5 + -2
-0.75x = -5 + -2

Combine like terms: -5 + -2 = -7
-0.75x = -7

Divide each side by '-0.75'.
x = 9.333333333

Simplifying
x = 9.333333333

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