7a+1-3a-5=3[a+1]

Solution for 7a+1-3a-5=3[a+1] equation:

Simplifying
7a + 1 + -3a + -5 = 3[a + 1]

Reorder the terms:
1 + -5 + 7a + -3a = 3[a + 1]

Combine like terms: 1 + -5 = -4
-4 + 7a + -3a = 3[a + 1]

Combine like terms: 7a + -3a = 4a
-4 + 4a = 3[a + 1]

Reorder the terms:
-4 + 4a = 3[1 + a]
-4 + 4a = [1 * 3 + a * 3]
-4 + 4a = [3 + 3a]

Solving
-4 + 4a = 3 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-4 + 4a + -3a = 3 + 3a + -3a

Combine like terms: 4a + -3a = 1a
-4 + 1a = 3 + 3a + -3a

Combine like terms: 3a + -3a = 0
-4 + 1a = 3 + 0
-4 + 1a = 3

Add '4' to each side of the equation.
-4 + 4 + 1a = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 1a = 3 + 4
1a = 3 + 4

Combine like terms: 3 + 4 = 7
1a = 7

Divide each side by '1'.
a = 7

Simplifying
a = 7