20.5a+4.7=10.1a+46.3

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Solution for 20.5a+4.7=10.1a+46.3 equation:


Simplifying
20.5a + 4.7 = 10.1a + 46.3

Reorder the terms:
4.7 + 20.5a = 10.1a + 46.3

Reorder the terms:
4.7 + 20.5a = 46.3 + 10.1a

Solving
4.7 + 20.5a = 46.3 + 10.1a

Solving for variable 'a'.

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

Add '-10.1a' to each side of the equation.
4.7 + 20.5a + -10.1a = 46.3 + 10.1a + -10.1a

Combine like terms: 20.5a + -10.1a = 10.4a
4.7 + 10.4a = 46.3 + 10.1a + -10.1a

Combine like terms: 10.1a + -10.1a = 0.0
4.7 + 10.4a = 46.3 + 0.0
4.7 + 10.4a = 46.3

Add '-4.7' to each side of the equation.
4.7 + -4.7 + 10.4a = 46.3 + -4.7

Combine like terms: 4.7 + -4.7 = 0.0
0.0 + 10.4a = 46.3 + -4.7
10.4a = 46.3 + -4.7

Combine like terms: 46.3 + -4.7 = 41.6
10.4a = 41.6

Divide each side by '10.4'.
a = 4

Simplifying
a = 4

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