9-2(3a+5)=4a+3(a-9)

Solution for 9-2(3a+5)=4a+3(a-9) equation:

Simplifying
9 + -2(3a + 5) = 4a + 3(a + -9)

Reorder the terms:
9 + -2(5 + 3a) = 4a + 3(a + -9)
9 + (5 * -2 + 3a * -2) = 4a + 3(a + -9)
9 + (-10 + -6a) = 4a + 3(a + -9)

Combine like terms: 9 + -10 = -1
-1 + -6a = 4a + 3(a + -9)

Reorder the terms:
-1 + -6a = 4a + 3(-9 + a)
-1 + -6a = 4a + (-9 * 3 + a * 3)
-1 + -6a = 4a + (-27 + 3a)

Reorder the terms:
-1 + -6a = -27 + 4a + 3a

Combine like terms: 4a + 3a = 7a
-1 + -6a = -27 + 7a

Solving
-1 + -6a = -27 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-1 + -6a + -7a = -27 + 7a + -7a

Combine like terms: -6a + -7a = -13a
-1 + -13a = -27 + 7a + -7a

Combine like terms: 7a + -7a = 0
-1 + -13a = -27 + 0
-1 + -13a = -27

Add '1' to each side of the equation.
-1 + 1 + -13a = -27 + 1

Combine like terms: -1 + 1 = 0
0 + -13a = -27 + 1
-13a = -27 + 1

Combine like terms: -27 + 1 = -26
-13a = -26

Divide each side by '-13'.
a = 2

Simplifying
a = 2