7.5a+5=2.5a+13

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Solution for 7.5a+5=2.5a+13 equation:


Simplifying
7.5a + 5 = 2.5a + 13

Reorder the terms:
5 + 7.5a = 2.5a + 13

Reorder the terms:
5 + 7.5a = 13 + 2.5a

Solving
5 + 7.5a = 13 + 2.5a

Solving for variable 'a'.

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

Add '-2.5a' to each side of the equation.
5 + 7.5a + -2.5a = 13 + 2.5a + -2.5a

Combine like terms: 7.5a + -2.5a = 5a
5 + 5a = 13 + 2.5a + -2.5a

Combine like terms: 2.5a + -2.5a = 0.0
5 + 5a = 13 + 0.0
5 + 5a = 13

Add '-5' to each side of the equation.
5 + -5 + 5a = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 5a = 13 + -5
5a = 13 + -5

Combine like terms: 13 + -5 = 8
5a = 8

Divide each side by '5'.
a = 1.6

Simplifying
a = 1.6

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