3.2x+45=6.4x-10.2

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Solution for 3.2x+45=6.4x-10.2 equation: 


Simplifying
3.2x + 45 = 6.4x + -10.2

Reorder the terms:
45 + 3.2x = 6.4x + -10.2

Reorder the terms:
45 + 3.2x = -10.2 + 6.4x

Solving
45 + 3.2x = -10.2 + 6.4x

Solving for variable 'x'.

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

Add '-6.4x' to each side of the equation.
45 + 3.2x + -6.4x = -10.2 + 6.4x + -6.4x

Combine like terms: 3.2x + -6.4x = -3.2x
45 + -3.2x = -10.2 + 6.4x + -6.4x

Combine like terms: 6.4x + -6.4x = 0.0
45 + -3.2x = -10.2 + 0.0
45 + -3.2x = -10.2

Add '-45' to each side of the equation.
45 + -45 + -3.2x = -10.2 + -45

Combine like terms: 45 + -45 = 0
0 + -3.2x = -10.2 + -45
-3.2x = -10.2 + -45

Combine like terms: -10.2 + -45 = -55.2
-3.2x = -55.2

Divide each side by '-3.2'.
x = 17.25

Simplifying
x = 17.25

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