.25(x+8)=2x-.5

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Solution for .25(x+8)=2x-.5 equation:


Simplifying
0.25(x + 8) = 2x + -0.5

Reorder the terms:
0.25(8 + x) = 2x + -0.5
(8 * 0.25 + x * 0.25) = 2x + -0.5
(2 + 0.25x) = 2x + -0.5

Reorder the terms:
2 + 0.25x = -0.5 + 2x

Solving
2 + 0.25x = -0.5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 0.25x + -2x = -0.5 + 2x + -2x

Combine like terms: 0.25x + -2x = -1.75x
2 + -1.75x = -0.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -1.75x = -0.5 + 0
2 + -1.75x = -0.5

Add '-2' to each side of the equation.
2 + -2 + -1.75x = -0.5 + -2

Combine like terms: 2 + -2 = 0
0 + -1.75x = -0.5 + -2
-1.75x = -0.5 + -2

Combine like terms: -0.5 + -2 = -2.5
-1.75x = -2.5

Divide each side by '-1.75'.
x = 1.428571429

Simplifying
x = 1.428571429

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