6-.75x+.67=.5x+5

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Solution for 6-.75x+.67=.5x+5 equation:


Simplifying
6 + -0.75x + 0.67 = 0.5x + 5

Reorder the terms:
6 + 0.67 + -0.75x = 0.5x + 5

Combine like terms: 6 + 0.67 = 6.67
6.67 + -0.75x = 0.5x + 5

Reorder the terms:
6.67 + -0.75x = 5 + 0.5x

Solving
6.67 + -0.75x = 5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
6.67 + -0.75x + -0.5x = 5 + 0.5x + -0.5x

Combine like terms: -0.75x + -0.5x = -1.25x
6.67 + -1.25x = 5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
6.67 + -1.25x = 5 + 0.0
6.67 + -1.25x = 5

Add '-6.67' to each side of the equation.
6.67 + -6.67 + -1.25x = 5 + -6.67

Combine like terms: 6.67 + -6.67 = 0.00
0.00 + -1.25x = 5 + -6.67
-1.25x = 5 + -6.67

Combine like terms: 5 + -6.67 = -1.67
-1.25x = -1.67

Divide each side by '-1.25'.
x = 1.336

Simplifying
x = 1.336

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