5(a-7)+2(a-3(a-5))=0

Solution for 5(a-7)+2(a-3(a-5))=0 equation:

Simplifying
5(a + -7) + 2(a + -3(a + -5)) = 0

Reorder the terms:
5(-7 + a) + 2(a + -3(a + -5)) = 0
(-7 * 5 + a * 5) + 2(a + -3(a + -5)) = 0
(-35 + 5a) + 2(a + -3(a + -5)) = 0

Reorder the terms:
-35 + 5a + 2(a + -3(-5 + a)) = 0
-35 + 5a + 2(a + (-5 * -3 + a * -3)) = 0
-35 + 5a + 2(a + (15 + -3a)) = 0

Reorder the terms:
-35 + 5a + 2(15 + a + -3a) = 0

Combine like terms: a + -3a = -2a
-35 + 5a + 2(15 + -2a) = 0
-35 + 5a + (15 * 2 + -2a * 2) = 0
-35 + 5a + (30 + -4a) = 0

Reorder the terms:
-35 + 30 + 5a + -4a = 0

Combine like terms: -35 + 30 = -5
-5 + 5a + -4a = 0

Combine like terms: 5a + -4a = 1a
-5 + 1a = 0

Solving
-5 + 1a = 0

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + 1a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 1a = 0 + 5
1a = 0 + 5

Combine like terms: 0 + 5 = 5
1a = 5

Divide each side by '1'.
a = 5

Simplifying
a = 5