x=(.5x+5)-(.5x+5)-.75x+5

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Solution for x=(.5x+5)-(.5x+5)-.75x+5 equation:


Simplifying
x = (0.5x + 5) + -1(0.5x + 5) + -0.75x + 5

Reorder the terms:
x = (5 + 0.5x) + -1(0.5x + 5) + -0.75x + 5

Remove parenthesis around (5 + 0.5x)
x = 5 + 0.5x + -1(0.5x + 5) + -0.75x + 5

Reorder the terms:
x = 5 + 0.5x + -1(5 + 0.5x) + -0.75x + 5
x = 5 + 0.5x + (5 * -1 + 0.5x * -1) + -0.75x + 5
x = 5 + 0.5x + (-5 + -0.5x) + -0.75x + 5

Reorder the terms:
x = 5 + -5 + 5 + 0.5x + -0.5x + -0.75x

Combine like terms: 5 + -5 = 0
x = 0 + 5 + 0.5x + -0.5x + -0.75x
x = 5 + 0.5x + -0.5x + -0.75x

Combine like terms: 0.5x + -0.5x = 0.0
x = 5 + 0.0 + -0.75x
x = 5 + -0.75x

Solving
x = 5 + -0.75x

Solving for variable 'x'.

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

Add '0.75x' to each side of the equation.
x + 0.75x = 5 + -0.75x + 0.75x

Combine like terms: x + 0.75x = 1.75x
1.75x = 5 + -0.75x + 0.75x

Combine like terms: -0.75x + 0.75x = 0.00
1.75x = 5 + 0.00
1.75x = 5

Divide each side by '1.75'.
x = 2.857142857

Simplifying
x = 2.857142857

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