3(a-5)=4a

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

Simplifying
3(a + -5) = 4a

Reorder the terms:
3(-5 + a) = 4a
(-5 * 3 + a * 3) = 4a
(-15 + 3a) = 4a

Solving
-15 + 3a = 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-15 + 3a + -4a = 4a + -4a

Combine like terms: 3a + -4a = -1a
-15 + -1a = 4a + -4a

Combine like terms: 4a + -4a = 0
-15 + -1a = 0

Add '15' to each side of the equation.
-15 + 15 + -1a = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1a = 0 + 15
-1a = 0 + 15

Combine like terms: 0 + 15 = 15
-1a = 15

Divide each side by '-1'.
a = -15

Simplifying
a = -15