.25(x+8)=.33(x+27)

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Solution for .25(x+8)=.33(x+27) equation: 


Simplifying
0.25(x + 8) = 0.33(x + 27)

Reorder the terms:
0.25(8 + x) = 0.33(x + 27)
(8 * 0.25 + x * 0.25) = 0.33(x + 27)
(2 + 0.25x) = 0.33(x + 27)

Reorder the terms:
2 + 0.25x = 0.33(27 + x)
2 + 0.25x = (27 * 0.33 + x * 0.33)
2 + 0.25x = (8.91 + 0.33x)

Solving
2 + 0.25x = 8.91 + 0.33x

Solving for variable 'x'.

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

Add '-0.33x' to each side of the equation.
2 + 0.25x + -0.33x = 8.91 + 0.33x + -0.33x

Combine like terms: 0.25x + -0.33x = -0.08x
2 + -0.08x = 8.91 + 0.33x + -0.33x

Combine like terms: 0.33x + -0.33x = 0.00
2 + -0.08x = 8.91 + 0.00
2 + -0.08x = 8.91

Add '-2' to each side of the equation.
2 + -2 + -0.08x = 8.91 + -2

Combine like terms: 2 + -2 = 0
0 + -0.08x = 8.91 + -2
-0.08x = 8.91 + -2

Combine like terms: 8.91 + -2 = 6.91
-0.08x = 6.91

Divide each side by '-0.08'.
x = -86.375

Simplifying
x = -86.375

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