.5x+2=.75x-7

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Solution for .5x+2=.75x-7 equation:


Simplifying
0.5x + 2 = 0.75x + -7

Reorder the terms:
2 + 0.5x = 0.75x + -7

Reorder the terms:
2 + 0.5x = -7 + 0.75x

Solving
2 + 0.5x = -7 + 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.
2 + 0.5x + -0.75x = -7 + 0.75x + -0.75x

Combine like terms: 0.5x + -0.75x = -0.25x
2 + -0.25x = -7 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
2 + -0.25x = -7 + 0.00
2 + -0.25x = -7

Add '-2' to each side of the equation.
2 + -2 + -0.25x = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -0.25x = -7 + -2
-0.25x = -7 + -2

Combine like terms: -7 + -2 = -9
-0.25x = -9

Divide each side by '-0.25'.
x = 36

Simplifying
x = 36

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