4a+3=7a+5

Solution for 4a+3=7a+5 equation:

Simplifying
4a + 3 = 7a + 5

Reorder the terms:
3 + 4a = 7a + 5

Reorder the terms:
3 + 4a = 5 + 7a

Solving
3 + 4a = 5 + 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.
3 + 4a + -7a = 5 + 7a + -7a

Combine like terms: 4a + -7a = -3a
3 + -3a = 5 + 7a + -7a

Combine like terms: 7a + -7a = 0
3 + -3a = 5 + 0
3 + -3a = 5

Add '-3' to each side of the equation.
3 + -3 + -3a = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -3a = 5 + -3
-3a = 5 + -3

Combine like terms: 5 + -3 = 2
-3a = 2

Divide each side by '-3'.
a = -0.6666666667

Simplifying
a = -0.6666666667