4a-3(2+a)+1=7

Solution for 4a-3(2+a)+1=7 equation:

Simplifying
4a + -3(2 + a) + 1 = 7
4a + (2 * -3 + a * -3) + 1 = 7
4a + (-6 + -3a) + 1 = 7

Reorder the terms:
-6 + 1 + 4a + -3a = 7

Combine like terms: -6 + 1 = -5
-5 + 4a + -3a = 7

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

Solving
-5 + 1a = 7

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + 1a = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 1a = 7 + 5
1a = 7 + 5

Combine like terms: 7 + 5 = 12
1a = 12

Divide each side by '1'.
a = 12

Simplifying
a = 12