2x-8=.75x-5

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Solution for 2x-8=.75x-5 equation:


Simplifying
2x + -8 = 0.75x + -5

Reorder the terms:
-8 + 2x = 0.75x + -5

Reorder the terms:
-8 + 2x = -5 + 0.75x

Solving
-8 + 2x = -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.
-8 + 2x + -0.75x = -5 + 0.75x + -0.75x

Combine like terms: 2x + -0.75x = 1.25x
-8 + 1.25x = -5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
-8 + 1.25x = -5 + 0.00
-8 + 1.25x = -5

Add '8' to each side of the equation.
-8 + 8 + 1.25x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + 1.25x = -5 + 8
1.25x = -5 + 8

Combine like terms: -5 + 8 = 3
1.25x = 3

Divide each side by '1.25'.
x = 2.4

Simplifying
x = 2.4

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