.3x+33=5x+13

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Solution for .3x+33=5x+13 equation:


Simplifying
0.3x + 33 = 5x + 13

Reorder the terms:
33 + 0.3x = 5x + 13

Reorder the terms:
33 + 0.3x = 13 + 5x

Solving
33 + 0.3x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
33 + 0.3x + -5x = 13 + 5x + -5x

Combine like terms: 0.3x + -5x = -4.7x
33 + -4.7x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
33 + -4.7x = 13 + 0
33 + -4.7x = 13

Add '-33' to each side of the equation.
33 + -33 + -4.7x = 13 + -33

Combine like terms: 33 + -33 = 0
0 + -4.7x = 13 + -33
-4.7x = 13 + -33

Combine like terms: 13 + -33 = -20
-4.7x = -20

Divide each side by '-4.7'.
x = 4.255319149

Simplifying
x = 4.255319149

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