4a-6(a+1)=2(a+5)

Solution for 4a-6(a+1)=2(a+5) equation:

Simplifying
4a + -6(a + 1) = 2(a + 5)

Reorder the terms:
4a + -6(1 + a) = 2(a + 5)
4a + (1 * -6 + a * -6) = 2(a + 5)
4a + (-6 + -6a) = 2(a + 5)

Reorder the terms:
-6 + 4a + -6a = 2(a + 5)

Combine like terms: 4a + -6a = -2a
-6 + -2a = 2(a + 5)

Reorder the terms:
-6 + -2a = 2(5 + a)
-6 + -2a = (5 * 2 + a * 2)
-6 + -2a = (10 + 2a)

Solving
-6 + -2a = 10 + 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.
-6 + -2a + -2a = 10 + 2a + -2a

Combine like terms: -2a + -2a = -4a
-6 + -4a = 10 + 2a + -2a

Combine like terms: 2a + -2a = 0
-6 + -4a = 10 + 0
-6 + -4a = 10

Add '6' to each side of the equation.
-6 + 6 + -4a = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -4a = 10 + 6
-4a = 10 + 6

Combine like terms: 10 + 6 = 16
-4a = 16

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

Simplifying
a = -4