.4x+6=.75x-8

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Solution for .4x+6=.75x-8 equation:


Simplifying
0.4x + 6 = 0.75x + -8

Reorder the terms:
6 + 0.4x = 0.75x + -8

Reorder the terms:
6 + 0.4x = -8 + 0.75x

Solving
6 + 0.4x = -8 + 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.
6 + 0.4x + -0.75x = -8 + 0.75x + -0.75x

Combine like terms: 0.4x + -0.75x = -0.35x
6 + -0.35x = -8 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
6 + -0.35x = -8 + 0.00
6 + -0.35x = -8

Add '-6' to each side of the equation.
6 + -6 + -0.35x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -0.35x = -8 + -6
-0.35x = -8 + -6

Combine like terms: -8 + -6 = -14
-0.35x = -14

Divide each side by '-0.35'.
x = 40

Simplifying
x = 40

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