3a+4.6=7a+5.3

Solution for 3a+4.6=7a+5.3 equation:

Simplifying
3a + 4.6 = 7a + 5.3

Reorder the terms:
4.6 + 3a = 7a + 5.3

Reorder the terms:
4.6 + 3a = 5.3 + 7a

Solving
4.6 + 3a = 5.3 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
4.6 + 3a + -7a = 5.3 + 7a + -7a

Combine like terms: 3a + -7a = -4a
4.6 + -4a = 5.3 + 7a + -7a

Combine like terms: 7a + -7a = 0
4.6 + -4a = 5.3 + 0
4.6 + -4a = 5.3

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -4a = 5.3 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -4a = 5.3 + -4.6
-4a = 5.3 + -4.6

Combine like terms: 5.3 + -4.6 = 0.7
-4a = 0.7

Divide each side by '-4'.
a = -0.175

Simplifying
a = -0.175