2(a+3)=5a+7-3(a+1)

Solution for 2(a+3)=5a+7-3(a+1) equation:

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

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

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

Reorder the terms:
6 + 2a = 7 + -3 + 5a + -3a

Combine like terms: 7 + -3 = 4
6 + 2a = 4 + 5a + -3a

Combine like terms: 5a + -3a = 2a
6 + 2a = 4 + 2a

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

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

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

Solving
6 = 4

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.