5.3x+2-4.1x=3x-6.1

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Solution for 5.3x+2-4.1x=3x-6.1 equation:


Simplifying
5.3x + 2 + -4.1x = 3x + -6.1

Reorder the terms:
2 + 5.3x + -4.1x = 3x + -6.1

Combine like terms: 5.3x + -4.1x = 1.2x
2 + 1.2x = 3x + -6.1

Reorder the terms:
2 + 1.2x = -6.1 + 3x

Solving
2 + 1.2x = -6.1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 1.2x + -3x = -6.1 + 3x + -3x

Combine like terms: 1.2x + -3x = -1.8x
2 + -1.8x = -6.1 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -1.8x = -6.1 + 0
2 + -1.8x = -6.1

Add '-2' to each side of the equation.
2 + -2 + -1.8x = -6.1 + -2

Combine like terms: 2 + -2 = 0
0 + -1.8x = -6.1 + -2
-1.8x = -6.1 + -2

Combine like terms: -6.1 + -2 = -8.1
-1.8x = -8.1

Divide each side by '-1.8'.
x = 4.5

Simplifying
x = 4.5

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