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

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

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

Reorder the terms:
2(-7 + a) = 3(a + 1)
(-7 * 2 + a * 2) = 3(a + 1)
(-14 + 2a) = 3(a + 1)

Reorder the terms:
-14 + 2a = 3(1 + a)
-14 + 2a = (1 * 3 + a * 3)
-14 + 2a = (3 + 3a)

Solving
-14 + 2a = 3 + 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.
-14 + 2a + -3a = 3 + 3a + -3a

Combine like terms: 2a + -3a = -1a
-14 + -1a = 3 + 3a + -3a

Combine like terms: 3a + -3a = 0
-14 + -1a = 3 + 0
-14 + -1a = 3

Add '14' to each side of the equation.
-14 + 14 + -1a = 3 + 14

Combine like terms: -14 + 14 = 0
0 + -1a = 3 + 14
-1a = 3 + 14

Combine like terms: 3 + 14 = 17
-1a = 17

Divide each side by '-1'.
a = -17

Simplifying
a = -17