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

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

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

Reorder the terms:
4(-5 + a) = 3(a + 2)
(-5 * 4 + a * 4) = 3(a + 2)
(-20 + 4a) = 3(a + 2)

Reorder the terms:
-20 + 4a = 3(2 + a)
-20 + 4a = (2 * 3 + a * 3)
-20 + 4a = (6 + 3a)

Solving
-20 + 4a = 6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-20 + 4a + -3a = 6 + 3a + -3a

Combine like terms: 4a + -3a = 1a
-20 + 1a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-20 + 1a = 6 + 0
-20 + 1a = 6

Add '20' to each side of the equation.
-20 + 20 + 1a = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 1a = 6 + 20
1a = 6 + 20

Combine like terms: 6 + 20 = 26
1a = 26

Divide each side by '1'.
a = 26

Simplifying
a = 26