3(a+1)=7a-5

Solution for 3(a+1)=7a-5 equation:

Simplifying
3(a + 1) = 7a + -5

Reorder the terms:
3(1 + a) = 7a + -5
(1 * 3 + a * 3) = 7a + -5
(3 + 3a) = 7a + -5

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

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

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

Combine like terms: 7a + -7a = 0
3 + -4a = -5 + 0
3 + -4a = -5

Add '-3' to each side of the equation.
3 + -3 + -4a = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -4a = -5 + -3
-4a = -5 + -3

Combine like terms: -5 + -3 = -8
-4a = -8

Divide each side by '-4'.
a = 2

Simplifying
a = 2