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

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

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

Reorder the terms:
4(-3 + 2a) = 3(5a + -2)
(-3 * 4 + 2a * 4) = 3(5a + -2)
(-12 + 8a) = 3(5a + -2)

Reorder the terms:
-12 + 8a = 3(-2 + 5a)
-12 + 8a = (-2 * 3 + 5a * 3)
-12 + 8a = (-6 + 15a)

Solving
-12 + 8a = -6 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
-12 + 8a + -15a = -6 + 15a + -15a

Combine like terms: 8a + -15a = -7a
-12 + -7a = -6 + 15a + -15a

Combine like terms: 15a + -15a = 0
-12 + -7a = -6 + 0
-12 + -7a = -6

Add '12' to each side of the equation.
-12 + 12 + -7a = -6 + 12

Combine like terms: -12 + 12 = 0
0 + -7a = -6 + 12
-7a = -6 + 12

Combine like terms: -6 + 12 = 6
-7a = 6

Divide each side by '-7'.
a = -0.8571428571

Simplifying
a = -0.8571428571