.667(x+5)=.25(x+2)

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Solution for .667(x+5)=.25(x+2) equation:


Simplifying
0.667(x + 5) = 0.25(x + 2)

Reorder the terms:
0.667(5 + x) = 0.25(x + 2)
(5 * 0.667 + x * 0.667) = 0.25(x + 2)
(3.335 + 0.667x) = 0.25(x + 2)

Reorder the terms:
3.335 + 0.667x = 0.25(2 + x)
3.335 + 0.667x = (2 * 0.25 + x * 0.25)
3.335 + 0.667x = (0.5 + 0.25x)

Solving
3.335 + 0.667x = 0.5 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
3.335 + 0.667x + -0.25x = 0.5 + 0.25x + -0.25x

Combine like terms: 0.667x + -0.25x = 0.417x
3.335 + 0.417x = 0.5 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
3.335 + 0.417x = 0.5 + 0.00
3.335 + 0.417x = 0.5

Add '-3.335' to each side of the equation.
3.335 + -3.335 + 0.417x = 0.5 + -3.335

Combine like terms: 3.335 + -3.335 = 0.000
0.000 + 0.417x = 0.5 + -3.335
0.417x = 0.5 + -3.335

Combine like terms: 0.5 + -3.335 = -2.835
0.417x = -2.835

Divide each side by '0.417'.
x = -6.798561151

Simplifying
x = -6.798561151

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