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

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

Simplifying
2(a + 1) = -2a + 6

Reorder the terms:
2(1 + a) = -2a + 6
(1 * 2 + a * 2) = -2a + 6
(2 + 2a) = -2a + 6

Reorder the terms:
2 + 2a = 6 + -2a

Solving
2 + 2a = 6 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
2 + 2a + 2a = 6 + -2a + 2a

Combine like terms: 2a + 2a = 4a
2 + 4a = 6 + -2a + 2a

Combine like terms: -2a + 2a = 0
2 + 4a = 6 + 0
2 + 4a = 6

Add '-2' to each side of the equation.
2 + -2 + 4a = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 4a = 6 + -2
4a = 6 + -2

Combine like terms: 6 + -2 = 4
4a = 4

Divide each side by '4'.
a = 1

Simplifying
a = 1