10(6a+10)-(9a-5)=

Solution for 10(6a+10)-(9a-5)= equation:

Simplifying
10(6a + 10) + -1(9a + -5) = 0

Reorder the terms:
10(10 + 6a) + -1(9a + -5) = 0
(10 * 10 + 6a * 10) + -1(9a + -5) = 0
(100 + 60a) + -1(9a + -5) = 0

Reorder the terms:
100 + 60a + -1(-5 + 9a) = 0
100 + 60a + (-5 * -1 + 9a * -1) = 0
100 + 60a + (5 + -9a) = 0

Reorder the terms:
100 + 5 + 60a + -9a = 0

Combine like terms: 100 + 5 = 105
105 + 60a + -9a = 0

Combine like terms: 60a + -9a = 51a
105 + 51a = 0

Solving
105 + 51a = 0

Solving for variable 'a'.

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

Add '-105' to each side of the equation.
105 + -105 + 51a = 0 + -105

Combine like terms: 105 + -105 = 0
0 + 51a = 0 + -105
51a = 0 + -105

Combine like terms: 0 + -105 = -105
51a = -105

Divide each side by '51'.
a = -2.058823529

Simplifying
a = -2.058823529