2(5a-2)=3(3a+14)

Solution for 2(5a-2)=3(3a+14) equation:

Simplifying
2(5a + -2) = 3(3a + 14)

Reorder the terms:
2(-2 + 5a) = 3(3a + 14)
(-2 * 2 + 5a * 2) = 3(3a + 14)
(-4 + 10a) = 3(3a + 14)

Reorder the terms:
-4 + 10a = 3(14 + 3a)
-4 + 10a = (14 * 3 + 3a * 3)
-4 + 10a = (42 + 9a)

Solving
-4 + 10a = 42 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
-4 + 10a + -9a = 42 + 9a + -9a

Combine like terms: 10a + -9a = 1a
-4 + 1a = 42 + 9a + -9a

Combine like terms: 9a + -9a = 0
-4 + 1a = 42 + 0
-4 + 1a = 42

Add '4' to each side of the equation.
-4 + 4 + 1a = 42 + 4

Combine like terms: -4 + 4 = 0
0 + 1a = 42 + 4
1a = 42 + 4

Combine like terms: 42 + 4 = 46
1a = 46

Divide each side by '1'.
a = 46

Simplifying
a = 46