7.5x-1.4=6.4-4.5x

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Solution for 7.5x-1.4=6.4-4.5x equation: 


Simplifying
7.5x + -1.4 = 6.4 + -4.5x

Reorder the terms:
-1.4 + 7.5x = 6.4 + -4.5x

Solving
-1.4 + 7.5x = 6.4 + -4.5x

Solving for variable 'x'.

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

Add '4.5x' to each side of the equation.
-1.4 + 7.5x + 4.5x = 6.4 + -4.5x + 4.5x

Combine like terms: 7.5x + 4.5x = 12x
-1.4 + 12x = 6.4 + -4.5x + 4.5x

Combine like terms: -4.5x + 4.5x = 0.0
-1.4 + 12x = 6.4 + 0.0
-1.4 + 12x = 6.4

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 12x = 6.4 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 12x = 6.4 + 1.4
12x = 6.4 + 1.4

Combine like terms: 6.4 + 1.4 = 7.8
12x = 7.8

Divide each side by '12'.
x = 0.65

Simplifying
x = 0.65

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