5(a-1)-4(a-2)=2(5a+20)

Solution for 5(a-1)-4(a-2)=2(5a+20) equation:

Simplifying
5(a + -1) + -4(a + -2) = 2(5a + 20)

Reorder the terms:
5(-1 + a) + -4(a + -2) = 2(5a + 20)
(-1 * 5 + a * 5) + -4(a + -2) = 2(5a + 20)
(-5 + 5a) + -4(a + -2) = 2(5a + 20)

Reorder the terms:
-5 + 5a + -4(-2 + a) = 2(5a + 20)
-5 + 5a + (-2 * -4 + a * -4) = 2(5a + 20)
-5 + 5a + (8 + -4a) = 2(5a + 20)

Reorder the terms:
-5 + 8 + 5a + -4a = 2(5a + 20)

Combine like terms: -5 + 8 = 3
3 + 5a + -4a = 2(5a + 20)

Combine like terms: 5a + -4a = 1a
3 + 1a = 2(5a + 20)

Reorder the terms:
3 + 1a = 2(20 + 5a)
3 + 1a = (20 * 2 + 5a * 2)
3 + 1a = (40 + 10a)

Solving
3 + 1a = 40 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
3 + 1a + -10a = 40 + 10a + -10a

Combine like terms: 1a + -10a = -9a
3 + -9a = 40 + 10a + -10a

Combine like terms: 10a + -10a = 0
3 + -9a = 40 + 0
3 + -9a = 40

Add '-3' to each side of the equation.
3 + -3 + -9a = 40 + -3

Combine like terms: 3 + -3 = 0
0 + -9a = 40 + -3
-9a = 40 + -3

Combine like terms: 40 + -3 = 37
-9a = 37

Divide each side by '-9'.
a = -4.111111111

Simplifying
a = -4.111111111