2a-[a+(2a-1)+7]=10

Solution for 2a-[a+(2a-1)+7]=10 equation:

Simplifying
2a + -1[a + (2a + -1) + 7] = 10

Reorder the terms:
2a + -1[a + (-1 + 2a) + 7] = 10

Remove parenthesis around (-1 + 2a)
2a + -1[a + -1 + 2a + 7] = 10

Reorder the terms:
2a + -1[-1 + 7 + a + 2a] = 10

Combine like terms: -1 + 7 = 6
2a + -1[6 + a + 2a] = 10

Combine like terms: a + 2a = 3a
2a + -1[6 + 3a] = 10
2a + [6 * -1 + 3a * -1] = 10
2a + [-6 + -3a] = 10

Reorder the terms:
-6 + 2a + -3a = 10

Combine like terms: 2a + -3a = -1a
-6 + -1a = 10

Solving
-6 + -1a = 10

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + -1a = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -1a = 10 + 6
-1a = 10 + 6

Combine like terms: 10 + 6 = 16
-1a = 16

Divide each side by '-1'.
a = -16

Simplifying
a = -16