.75x+2=1.25x-6

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Solution for .75x+2=1.25x-6 equation:


Simplifying
0.75x + 2 = 1.25x + -6

Reorder the terms:
2 + 0.75x = 1.25x + -6

Reorder the terms:
2 + 0.75x = -6 + 1.25x

Solving
2 + 0.75x = -6 + 1.25x

Solving for variable 'x'.

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

Add '-1.25x' to each side of the equation.
2 + 0.75x + -1.25x = -6 + 1.25x + -1.25x

Combine like terms: 0.75x + -1.25x = -0.5x
2 + -0.5x = -6 + 1.25x + -1.25x

Combine like terms: 1.25x + -1.25x = 0.00
2 + -0.5x = -6 + 0.00
2 + -0.5x = -6

Add '-2' to each side of the equation.
2 + -2 + -0.5x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -0.5x = -6 + -2
-0.5x = -6 + -2

Combine like terms: -6 + -2 = -8
-0.5x = -8

Divide each side by '-0.5'.
x = 16

Simplifying
x = 16

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