x-0.1=0.75x+4.5

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Solution for x-0.1=0.75x+4.5 equation: 


Simplifying
x + -0.1 = 0.75x + 4.5

Reorder the terms:
-0.1 + x = 0.75x + 4.5

Reorder the terms:
-0.1 + x = 4.5 + 0.75x

Solving
-0.1 + x = 4.5 + 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.
-0.1 + x + -0.75x = 4.5 + 0.75x + -0.75x

Combine like terms: x + -0.75x = 0.25x
-0.1 + 0.25x = 4.5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
-0.1 + 0.25x = 4.5 + 0.00
-0.1 + 0.25x = 4.5

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.25x = 4.5 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.25x = 4.5 + 0.1
0.25x = 4.5 + 0.1

Combine like terms: 4.5 + 0.1 = 4.6
0.25x = 4.6

Divide each side by '0.25'.
x = 18.4

Simplifying
x = 18.4

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