3.5a+8=7.5a-4

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Solution for 3.5a+8=7.5a-4 equation: 


Simplifying
3.5a + 8 = 7.5a + -4

Reorder the terms:
8 + 3.5a = 7.5a + -4

Reorder the terms:
8 + 3.5a = -4 + 7.5a

Solving
8 + 3.5a = -4 + 7.5a

Solving for variable 'a'.

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

Add '-7.5a' to each side of the equation.
8 + 3.5a + -7.5a = -4 + 7.5a + -7.5a

Combine like terms: 3.5a + -7.5a = -4a
8 + -4a = -4 + 7.5a + -7.5a

Combine like terms: 7.5a + -7.5a = 0.0
8 + -4a = -4 + 0.0
8 + -4a = -4

Add '-8' to each side of the equation.
8 + -8 + -4a = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -4a = -4 + -8
-4a = -4 + -8

Combine like terms: -4 + -8 = -12
-4a = -12

Divide each side by '-4'.
a = 3

Simplifying
a = 3

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