.25(x+6)=.166(x+8)

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Solution for .25(x+6)=.166(x+8) equation: 


Simplifying
0.25(x + 6) = 0.166(x + 8)

Reorder the terms:
0.25(6 + x) = 0.166(x + 8)
(6 * 0.25 + x * 0.25) = 0.166(x + 8)
(1.5 + 0.25x) = 0.166(x + 8)

Reorder the terms:
1.5 + 0.25x = 0.166(8 + x)
1.5 + 0.25x = (8 * 0.166 + x * 0.166)
1.5 + 0.25x = (1.328 + 0.166x)

Solving
1.5 + 0.25x = 1.328 + 0.166x

Solving for variable 'x'.

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

Add '-0.166x' to each side of the equation.
1.5 + 0.25x + -0.166x = 1.328 + 0.166x + -0.166x

Combine like terms: 0.25x + -0.166x = 0.084x
1.5 + 0.084x = 1.328 + 0.166x + -0.166x

Combine like terms: 0.166x + -0.166x = 0.000
1.5 + 0.084x = 1.328 + 0.000
1.5 + 0.084x = 1.328

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.084x = 1.328 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.084x = 1.328 + -1.5
0.084x = 1.328 + -1.5

Combine like terms: 1.328 + -1.5 = -0.172
0.084x = -0.172

Divide each side by '0.084'.
x = -2.047619048

Simplifying
x = -2.047619048

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