.25(x+6)=3(x+8)

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Solution for .25(x+6)=3(x+8) equation: 


Simplifying
0.25(x + 6) = 3(x + 8)

Reorder the terms:
0.25(6 + x) = 3(x + 8)
(6 * 0.25 + x * 0.25) = 3(x + 8)
(1.5 + 0.25x) = 3(x + 8)

Reorder the terms:
1.5 + 0.25x = 3(8 + x)
1.5 + 0.25x = (8 * 3 + x * 3)
1.5 + 0.25x = (24 + 3x)

Solving
1.5 + 0.25x = 24 + 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.
1.5 + 0.25x + -3x = 24 + 3x + -3x

Combine like terms: 0.25x + -3x = -2.75x
1.5 + -2.75x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
1.5 + -2.75x = 24 + 0
1.5 + -2.75x = 24

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -2.75x = 24 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2.75x = 24 + -1.5
-2.75x = 24 + -1.5

Combine like terms: 24 + -1.5 = 22.5
-2.75x = 22.5

Divide each side by '-2.75'.
x = -8.181818182

Simplifying
x = -8.181818182

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