6-(3+4)a=(1+2)a+1

Solution for 6-(3+4)a=(1+2)a+1 equation:

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

Combine like terms: 3 + 4 = 7
6 + -1(7) * a = (1 + 2) * a + 1

Multiply -1 * 7
6 + -7a = (1 + 2) * a + 1

Combine like terms: 1 + 2 = 3
6 + -7a = (3) * a + 1

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

Solving
6 + -7a = 1 + 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.
6 + -7a + -3a = 1 + 3a + -3a

Combine like terms: -7a + -3a = -10a
6 + -10a = 1 + 3a + -3a

Combine like terms: 3a + -3a = 0
6 + -10a = 1 + 0
6 + -10a = 1

Add '-6' to each side of the equation.
6 + -6 + -10a = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -10a = 1 + -6
-10a = 1 + -6

Combine like terms: 1 + -6 = -5
-10a = -5

Divide each side by '-10'.
a = 0.5

Simplifying
a = 0.5