5.3x+1=4.5x-3

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Solution for 5.3x+1=4.5x-3 equation: 


Simplifying
5.3x + 1 = 4.5x + -3

Reorder the terms:
1 + 5.3x = 4.5x + -3

Reorder the terms:
1 + 5.3x = -3 + 4.5x

Solving
1 + 5.3x = -3 + 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 + 5.3x + -4.5x = -3 + 4.5x + -4.5x

Combine like terms: 5.3x + -4.5x = 0.8x
1 + 0.8x = -3 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
1 + 0.8x = -3 + 0.0
1 + 0.8x = -3

Add '-1' to each side of the equation.
1 + -1 + 0.8x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + 0.8x = -3 + -1
0.8x = -3 + -1

Combine like terms: -3 + -1 = -4
0.8x = -4

Divide each side by '0.8'.
x = -5

Simplifying
x = -5

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