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

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

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

Reorder the terms:
-5a + -2(-3 + 5a) = 7(5 + 2a)
-5a + (-3 * -2 + 5a * -2) = 7(5 + 2a)
-5a + (6 + -10a) = 7(5 + 2a)

Reorder the terms:
6 + -5a + -10a = 7(5 + 2a)

Combine like terms: -5a + -10a = -15a
6 + -15a = 7(5 + 2a)
6 + -15a = (5 * 7 + 2a * 7)
6 + -15a = (35 + 14a)

Solving
6 + -15a = 35 + 14a

Solving for variable 'a'.

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

Add '-14a' to each side of the equation.
6 + -15a + -14a = 35 + 14a + -14a

Combine like terms: -15a + -14a = -29a
6 + -29a = 35 + 14a + -14a

Combine like terms: 14a + -14a = 0
6 + -29a = 35 + 0
6 + -29a = 35

Add '-6' to each side of the equation.
6 + -6 + -29a = 35 + -6

Combine like terms: 6 + -6 = 0
0 + -29a = 35 + -6
-29a = 35 + -6

Combine like terms: 35 + -6 = 29
-29a = 29

Divide each side by '-29'.
a = -1

Simplifying
a = -1