6-4(a+3)=2+7(5-a)

Solution for 6-4(a+3)=2+7(5-a) equation:

Simplifying
6 + -4(a + 3) = 2 + 7(5 + -1a)

Reorder the terms:
6 + -4(3 + a) = 2 + 7(5 + -1a)
6 + (3 * -4 + a * -4) = 2 + 7(5 + -1a)
6 + (-12 + -4a) = 2 + 7(5 + -1a)

Combine like terms: 6 + -12 = -6
-6 + -4a = 2 + 7(5 + -1a)
-6 + -4a = 2 + (5 * 7 + -1a * 7)
-6 + -4a = 2 + (35 + -7a)

Combine like terms: 2 + 35 = 37
-6 + -4a = 37 + -7a

Solving
-6 + -4a = 37 + -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.
-6 + -4a + 7a = 37 + -7a + 7a

Combine like terms: -4a + 7a = 3a
-6 + 3a = 37 + -7a + 7a

Combine like terms: -7a + 7a = 0
-6 + 3a = 37 + 0
-6 + 3a = 37

Add '6' to each side of the equation.
-6 + 6 + 3a = 37 + 6

Combine like terms: -6 + 6 = 0
0 + 3a = 37 + 6
3a = 37 + 6

Combine like terms: 37 + 6 = 43
3a = 43

Divide each side by '3'.
a = 14.33333333

Simplifying
a = 14.33333333